Very nice wiki article on the subject, one of three Pythagorean means. >
> The overview of the applications is interesting. Things like: ...
> Labor compensation: The geometric mean of a subsistence wage and market value of the labor using capital of employer was suggested as the natural wage by Johann von Thünen in 1875.[16]
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> What is it about the geometric of the geometric mean making it so appropriate? >
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Yeah, once, on jury duty doing a compensation calculation, I noted that the square root of the product of the plaintiff's and defendant's suggested numbers was very close to what our tabulation yielded.
After being laughed off, one of the other jurors (a professional at accounting) made the same observation, using percentage scaling figures...
So, there's a lot of geometric mean applications, and I wonder if the defendant's lawyer expected X and low-balled by a percentage while the plaintiff's lawyer expected X and high-balled by the same percentage. Who knows? Not me.