Question

If am and hm of two positive numbers are 75 and 48 then their gm is

Answer 1

Answer:

As we know that

Arithmetic mean, Geometric mean and harmonic mean between two numbers also form and GP (geometric progression ).

So,

Geometric mean between two numbers is also Geometric mean between there Arithmetic and harmonic mean .

i.e.

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

Given that Arithmetic mean and harmonic mean between two positive numbers are 75 and 48 respectively.

So,

$GM = \sqrt{75 \times 48} \\ = \sqrt{3600} \\ \implies \boxed{\boxed{GM = 60}}$