Question

find the 3rd proportional to 9 and 72​

Answer 1

Step-by-step explanation:

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Answer 2

Answer: The third proportional of 9 and 72 is 576.

Step-by-step explanation:

• A ratio, which is expressed as a/b or a:b, compares two quantities, a and b.
• The term c is known as the third proportion when the terms a, b, and c are in continuing proportion, which can be represented as a:b:: b:c.
• The product of the means is equal to the product of the extremes, also in accordance with the means-extremes property of a proportion.

Let us apply this rule to solve the given problem.

Given 9: 72

Let the third proportion be x.

So, 9, 72 and x are in continued proportion.

Thus ,

9: 72 :: 72: x

Here, 9 and x are the extremes, and 72 and 72 are the means. Thus,

9×$x=$$72$×$72$

⇒ $x= \frac{72^{2} }{9}$

⇒$x=$ 72 × 8

⇒$x = 576$.

So, the third proportional of 9 and 72 is 576.

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