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.
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.
Weisstein, Eric W. "Perfect Proportion." From MathWorldA Wolfram Web Resource. https://mathworld.wolfram.com/PerfectProportion.html