Question

If 3,x,27are in continued proportion then x=

Answer 1

3:x::x:27

3×27=x×x

81=x^2

x=9

Answer 2

The value of x is 9

Solution:

Given that,

3 , x , 27 are in continued proportion

We have to find the value of x

From given,

3 : x : : x : 27

By proportion,

a : b : : c : d

Then,

$\frac{a}{b} = \frac{c}{d}$

Therefore,

$\frac{3}{x} = \frac{x}{27}\\\\x^2 = 3 \times 27\\\\x^2 = 81\\\\x = 9$

Thus value of x is 9

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