Since
 |
(1)
|
it follows that
 |
(2)
|
so
 |
(3)
|
where 
and 
are the arithmetic mean and harmonic
mean of 
and 
.
This relationship was purportedly discovered by Pythagoras.
Perfect Proportion
See also
Arithmetic Mean, Harmonic MeanExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Perfect Proportion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PerfectProportion.html