Third Proportion Calculation
To find the third proportion (let's call it '$c$') to two numbers '$a$' and '$b$', we use the concept of continued proportion. If '$a$', '$b$', and '$c$' are in continued proportion, the ratio between the first two numbers is equal to the ratio between the second and the third number.
This can be written as:
$ \frac{a}{b} = \frac{b}{c} $
Applying the Formula
In this problem, we are given the numbers $a = 12$ and $b = 30$. We need to find the third proportion, '$c$'.
Set up the proportion:
$ \frac{12}{30} = \frac{30}{c} $
Solving for the Third Proportion
To find '$c$', we can cross-multiply:
$ 12 \times c = 30 \times 30 $
Calculate the product on the right side:
$ 12c = 900 $
Now, isolate '$c$' by dividing both sides by 12:
$ c = \frac{900}{12} $
Perform the division:
$ c = 75 $
Therefore, the third proportion to 12 and 30 is 75.
Similar Questions
- If the third proportional of 32 and 24 is x, then what is the value of x?
If p is the third proportional to 6 and 18, and q is the third proportional to p and 54, find the value of q.
Find the third proportional to 8 and 48.2.
If the cost of 6 chocolates, 12 chocolates, and x chocolates are in proportion such that x is the third proportional, how many chocolates correspond to x?
If the third proportional to 0.8 and 5.6 is n, then what is the value of n?
Find the third proportional to (a² − b²) and (a + b), given that a ≠ b.
The lengths of two rods are 4 cm and 6 cm. A third rod is made such that the three rods are in continued proportion. What will be the length of the third rod?
If the third proportional to two numbers is 32 and the second number is 16, find the first number.
If the third proportional to 4 and 6 is used as the base of a rectangle, and the first number (4) is its height, what is the area of the rectangle?
If the third proportional to 4 and 20 is m and the third proportional to m and 50 is n, what is the value of n?
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:
