Finding the Third Proportional of 32 and 24
The third proportional of two numbers $a$ and $b$ is a number $x$ such that the ratio $a:b$ is equal to the ratio $b:x$. This can be written as:
$ \frac{a}{b} = \frac{b}{x} $
Setting up the Proportion
In this problem, we are given $a = 32$ and $b = 24$. We need to find the third proportional, $x$. The proportion is:
$ 32 : 24 :: 24 : x $
Which translates to the equation:
$ \frac{32}{24} = \frac{24}{x} $
Calculating the Value of x
To find $x$, we can cross-multiply:
$ 32 \times x = 24 \times 24 $
Now, solve for $x$:
$ x = \frac{24 \times 24}{32} $
Calculate the product in the numerator:
$ x = \frac{576}{32} $
Finally, perform the division:
$ x = 18 $
Conclusion
The value of $x$, which is the third proportional of 32 and 24, is 18.
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Important Questions from Third Proportional
Find the third proportional to 16 and 24.
What is the third proportional to the numbers 9 and 45?
Find the third proportional to 6 and 12.
Find the 3 rd proportional to 9 and 21.
The third proportional to 0.9 and 0.3 is:
