Question

What is the mean proportional of 4 and 25? Select the appropriate alternative answer for the question.
(A) 6
(B) 8
(C) 10
(D) 12

Answer 1

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Mean propotional of 4 & 25 :

(4^25 ) = 10

So answer is C

Mean Proportional of two numbers 'a' and 'b' is 'x' such that a/x = x/b 
Here a=4, b=25 
So, a/x = x/b 
=>x*x = a*b 
=>x^2 = a*b 
=> x= square_root(a*b) 
=>x=square_root(4*25) 
=>x=2*5=10 
So, 10 is the mean proportional between 4 and 25.

★ HOPE THIS HELPS U FRIEND !!! ★

Answer 2

Let x be the mean proportional between 4 and 25
Then, 4:x::x:25
Since, Product of means = Product of extremes
Therefore, 4x25=x^2
x=10


Answer is 10.

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