Question

if Arithmetic mean is 25 and harmonic mean is 9 find Geometric mean​

Answer 1

Answer:

Step-by-step explanation:

(GM)^2=AM×HM

So,

(GM^2)=25×9

(GM)^2=225

GM=15

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Answer 2

The value of Geometric mean is 15

Step-by-step explanation:

let the numbers be a and b

then

Arithmetic mean AM = $\frac{a+b}{2}$..1

harmonic mean HM = $\frac{2ab}{a+b}$..2

from 1 and 2

ab = AM × HM ...3

we need to find out the GM which is given by

GM = $\sqrt{ab}$

from 3 equation

$GM =\sqrt{AM\times HM }$

placing  the value we get

$GM = \sqrt{25 \times 9}$

GM = 5× 3

GM = 15

hence, Geometric mean is 15

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If the arithmetic mean is 25 and the harmonic mean is 15 then the geometric mean is

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