Question

Mean proportion of 36 and 81

Answer 1

mean proportion of 36 and 81 is 54

Answer 2

SOLUTION

TO DETERMINE

The Mean proportion of 36 and 81

CONCEPT TO BE IMPLEMENTED

If b is the mean proportion of a and c then

$\sf{} {b}^{2} = ac$

EVALUATION

Let x be the mean proportion of 36 and 81

Then

$\displaystyle \sf{} \frac{36}{x} = \frac{x}{81}$

$\implies \sf{} {x}^{2} = 36 \times 81$

$\implies \sf{} {x}^{2} = {6}^{2} \times {9}^{2}$

$\implies \sf{}x = \pm \: (6 \times 9)$

$\implies \sf{}x = \pm \: 54$

$\sf{}The \: Mean \: proportion \: of \: 36 \: and \: 81 \: \: = \pm \: 54$

FINAL ANSWER

$\boxed{\sf{}The \: Mean \: proportion \: of \: 36 \: and \: 81 \: \: = \pm \: 54}$

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The G.M. of 3 and 24 with weight 2 and 1 respectively is

(A) 8(B) 4(C) 6(D) 9

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