Question

If 3,b,75 are in continued proportion, then value of b is?

Answer 1

SOLUTION

GIVEN

3 , b , 75 are in continued proportion

TO DETERMINE

The value of b

EVALUATION

Here it is given that 3 , b , 75 are in continued proportion

So by the given condition

3 : b = b : 75

$\displaystyle \sf{ \implies \frac{3}{b} = \frac{b}{75} }$

$\displaystyle \sf{ \implies {b}^{2} = 225 }$

$\displaystyle \sf{ \implies b = \sqrt{225} }$

$\displaystyle \sf{ \implies b =15 }$

FINAL ANSWER

Hence the required value of b = 15

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