Question

Find the third proportional of 16 and 24.​

Answer 1

Answer:

16:24:24:x

x=24×24/16

x=12×3  [cancellation]

x=36

Therefore, the third proportional to 16 and 24 is 36.

Step-by-step explanation:

Answer 2

Answer:

The third proportional of 16 and 24 is 36.

Step-by-step explanation:

$16:24:24:x\\x=24*24/16\\x=12*3 [cancellation]\\x=36$

Therefore, the third proportional to 16 and 24 is 36

By definition, we can say that the third proportional to two numbers a and b is defined as a number c such that a : b = b : c .

Proportional (third, fourth and mean)

Let's start by defining what we mean by ratio. For example, if we have any four numbers or quantities that we represent as "a", "b", "c" and "d", we can write the quotient of these four quantities as:

a:b = c:d or a:b :: c:d. From this we now define the proportions. Let's start by defining the fourth proportional.

Third proportional

Similar to the f=fourth proportional definition, we define a term known as the third proportional. The third proportional part is the second term of the mean value. For example, if we have a:b = c:d, then the term "c" is the third proportional to "a" and "b".

Medium proportional

The mean proportional between two terms of a ratio in a proportional is the square root of the product of the two. For example, in the ratio a:b :: c:d, we can define the mean proportional ratio a:b as the square root of the product of the two terms of the ratio, or $\sqrt{ab}$.

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