Question

If the numbers x, 6 and 9 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 = 4

Given :

x , 6 and 9 are in continued proportion

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation

Here it is given that x , 6 and 9 are in continued proportion

By the given condition

x : 6 = 6 : 9

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ x : 6 = 6 : 9 }$

$\displaystyle \sf{ \implies \frac{x}{6} = \frac{6}{9} }$

$\displaystyle \sf{ \implies 9x = 6 \times 6 }$

$\displaystyle \sf{ \implies 9x = 36 }$

$\displaystyle \sf{ \implies x = \frac{36}{9} }$

$\displaystyle \sf{ \implies x = 4 }$

Hence the required value of x = 4

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