Question

The three numbers 5 , 30 and x are in continued proportion. Find the value of x​

Answer 1

Step-by-step explanation:

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Answer 2

The value of x = 180

Given :

The three numbers 5 , 30 , x are in continued proportion

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation

Here it is given that three numbers 5 , 30 , x proportion

Thus we get

5 : 30 = 30 : x

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ 5 : 30 = 30 : x }$

$\displaystyle \sf{ \implies \frac{5}{30} = \frac{30}{x} }$

$\displaystyle \sf{ \implies \frac{1}{6} = \frac{30}{x} }$

$\displaystyle \sf{ \implies x = 30 \times 6}$

$\displaystyle \sf{ \implies x = 180}$

Hence the required value of x = 180

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