Question

If 7,x , 28 are in continued proportion, find the value of x ?

Answer 1

Answer:

14

Step-by-step explanation:

7/x=x/28

cross multiple it

x×x=28×7

x2 ka power 2

x2=28×7

x2=196

x=√196

x=14

Answer 2

The value of x = 14

Given :

7 , x , 28 are in continued proportion

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation

Here it is given that 7 , x , 28 are in continued proportion

Thus we get

7 : x = x : 28

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ 7 : x = x : 28 }$

$\displaystyle \sf{ \implies \frac{7}{x} = \frac{x}{28} }$

$\displaystyle \sf{ \implies {x}^{2} = 7 \times 28}$

$\displaystyle \sf{ \implies x = \sqrt{7 \times 28} }$

$\displaystyle \sf{ \implies x = \sqrt{7 \times 7 \times 2 \times 2} }$

$\displaystyle \sf{ \implies x = \sqrt{ {7}^{2} \times {2}^{2} } }$

$\displaystyle \sf{ \implies x = 7 \times 2}$

$\displaystyle \sf{ \implies x = 14}$

Hence the required value of x = 14

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