If x, y, and z are positive and x/y=y/z, what is the geometric mean?

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asked May 2, 2018 35.0k views

1 Answer

Ofir Attal · Answer 1 · 2018-05-08T13:59:47+0000

the geometric mean for three terms is (xyz)^(1/3)

x=y^2/z so now the equation becomes...

[(y^2/z)*y*z)]^(1/3)

(y^3)^(1/3)

y

So the geometric mean is y.

If x, y, and z are positive and x/y=y/z, what is the geometric mean?

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