Brand new world

Yes. Greece was for comparison only.
Hierarchy is a constant and it does not depend on tech level :(

On most isles society is kind of aristocratic oligarchy or rarely monarchy. Famous ancestors are generally more important than money (and traders are regarded as third sort people).
Having children is a luxury. Average lifespan for those inflatable folk is beyond two hundred years, and 90% of lives end in accidents (or "accidents"). Total population is limited and some High Council decides what is the limit, and who is worthy to have a child if there is a vacant place. Of course this system is not just, reason for intrigues and constant dogfight between high families.
There are some reasons for birth-control, for an unknown reason overpopulated isles, like their legendary capital of old times, accidentally cease to levitate and then fall into abyss...
Common belief is local demiurg has created universe for his fun (and that theory is correct :) ). So they think, god just hates big crowds.
Birth without permission is punished by deflating until there is vacant space. There is never any vacant space present, so this means forever. The only other option is exile. Sometimes citizens of big cities (isles) get bored, or just want children, and so migrate to some virgin uncolonized isle. Most of free land is covered with jungle or even worse desert, though. And this is of course one way trip. Chances of migrating to a city with decent population are next to zero (as there are their own guys and gals eager to fill any vacant place with their descendants).
Traders are people without home, they can go wherever they want being guests everywhere. Mighty trade guilds are rumored to have bases ( and locations of that isles is top secret ), however merchants rarely spend much time on solid land. This profession is very risky, due to erratic air currents it is difficult to be sure about ever getting to destination.

For inflatable folk inflation is a common thing an there is no any special fun in it (there are exceptions of course). Being flight-balloon is not a respected job at all, but it is a step to aerogator or wind-tamer. Proud aristocrats even consider it shame.
If anybody is inflated (to normal shape or above) for too long, matter of 'skin' starts to get tired, more and more vulnerable to physical damage. So you have to deflate and 'sleep' for a day or two. Problem is finding someone trustworthy, as deflated person is totally helpless. This is a Big problem for tyrants and despotic monarchs, and even for some ppl who are married for a long time...

Still there is at least one person very surprised by being inflatable - primary hero. This guy appears to be from Earth, or world very alike ours. He finds himself in a strange forest on a rather remote, provincial island after a short trip he finds a settlement, but gets slapped by a branch of some plant sporting numerous sharp thorns... He deflates (slowly) and his chances are really miserable as period of storms is about to start. Local girl finds him and reinflates. She is rather puzzled by his looks, strange and uncomfortable (from her point of view) clothing, and his language. For the first days, they do not understand each other and communicate via few simple words and gestures ... This leads to misunderstanding.
He wants to get home (and this is other world).
She decides world is merely other isle, guy is from some big city (and his strange clothes is due weird metropolitan fashion). Certainly that guy wants to get home... and that is an extremely rare opportunity for her to leave that boring place she lives at, marry him and get citizenship...
As she speaks about distant isle with 'culture', 'science', wizardry and better life, he gets this as "There is place where wise and mighty ppl live, they'll help you".
Presence of guest is kept in secret (for he has no right to reside on isle). When storms end they decide to fly together towards 'big city'.

Sample of my writing. Question: is it worth effort?
There are grammar faults, I'll seek and destroy them, but still there is need for some voluntarily editors.

For an unbearably long second my eyes remain closed. Good for them, good for me, no urgency, nothing reminds about its existence, not even weight of my body. Delightful, yes. This should be a dream, of course. Real zero-gravity causes nausea, entire subconsciousness panics et.c, I know it too well. So this is just a dream, yes? But what the hell does sunlight, passing through eyelids, does in my dream? There shouldn't be any sun here, in the Alex's hall, thanks to thick curtains and late evening. Though that grass was really marvelous, I guess Alex's uncle Bas, will be mad, once found our erhm, curiousity and eager for experimenting with his deposits. Well, sunlight was still here. So I've finally looked around, just to discover myself somwhere on the fourth floor altitude, literally liying on the soft fern-like crowns of a weirdest forest I've ever seen. Really damn marvelous grass.
Same sunlight was piercing every vivid green leave, dying scene in colors of malachite, I've felt dizzy and snapped nearest branch hastily. Strange, these leaves and branches were not looking that strong, how did they manage to bear my weight, would they give soon? Not being that eager of discovering answer for the latter question, I've made my way to the closest milk-white tree trunk. As I moved absence of my weight, was becoming clear. No gravity? Is it Earth? Assuming this is alien world, with next no gravity, why there is atmosphere. Picture around me was so real, it has swept all thoughts of dreaming, hallucinogens et.c. At least agoraphobia was genuine and natural, as well as my sigh of relief, when I've got to the firm, rough column of unknown herb. One of thousand around me. These plants were so tall and had leaves on their tops, like palms do. Probably, it was due to competition for sun energy.
Trying not to look downwards, I started climbing down. The main problem were occasional branches, bouncing against me, slapping my face, well, doing they best to stop me from reaching ground. At the level of twice my height, I've decided to just jump towards surface, I've descended slowly, not hit but touched heap of dead leaves. Finally terra firma. Thanks to thick herbal crowns above me, it was kind of green twilight here.