Question

The 3rd proportional to 1.6 and 2.4 is

Answer 1

Answer:

Third Proportional = b²/a

Step-by-step explanation:

(2•4)²/1•6

5•76/1•6

0•36

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Answer 2

Answer:

The third proportional of 1.6 and 2.4 is 3.6.

Step-by-step explanation:

• A ratio written as a/b or a:b, gives a comparison between two quantities a and b.
• When a, b and c are in continued proportion, which can be written as

       $a : b :: b : c$

        then the term c is called the third proportion.

• Also according to means-extremes property of a proportion, the product of the means is equal to the product of the extremes.

Let us apply this property to solve the problem.

Given 1.6 : 2.4

Let the third proportion be $x$

So, 1.6, 2.4 and x are in continued proportion.

Thus  $1.6 : 2.4 :: 2.4 : x$

Here, 1.6 and x are the extremes, and 2.4 and 2.4 are the means. Thus,

$1.6 \times x= 2.4 \times 2.4$

$\implies x=\dfrac{2.4 \times 2.4 }{1.6} =3.6$

So, the third proportional of 1.6 and 2.4 is 3.6.

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