Question

13. 8,12, p are in continued proportion. Find the value of p.

Answer 1

Answer :

We have,

• The numbers 8, 12 , p
• These numbers are in continued proportion.

To do,

• Find the value of p

We know that,

• In continued proportion the mid term is used twice for both the side.
• Taking this, solve for p

= 8 : 12 :: 12 : p

= $\dfrac{8}{12}$ = $\dfrac{12}{p}$

• Cross multiply

= 8p = 12 × 12

= 8p = 144

= p = $\dfrac{144}{8}$

= p = 18

•°• The value of p is 18.

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