The third proportional to 9 and 15 is:
25
Third Proportional Calculation for 9 and 15
To find the third proportional to two numbers, say a and b, we look for a number x such that the ratio a : b is the same as b : x. This can be written as:
$ a : b \:: b : x $
Or in fractional form:
$ \frac{a}{b} = \frac{b}{x} $
Calculating the Third Proportional
In this problem, we have a = 9 and b = 15. We need to find the third proportional, x.
Set up the proportion:
$ \frac{9}{15} = \frac{15}{x} $
To solve for x, we can cross-multiply:
$ 9 \times x = 15 \times 15 $
Calculate the product on the right side:
$ 9x = 225 $
Now, divide both sides by 9 to isolate x:
$ x = \frac{225}{9} $
$ x = 25 $
Result
The third proportional to 9 and 15 is 25.
Similar Questions
If \(\frac{a}{b} = \frac{7}{9}, \frac{b}{c} = \frac{3}{5}\) , then the value of a : b : c is
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
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Important Questions from Ratio and Proportion
If the ratio of three numbers A, B and C is 2 ∶ 3 ∶ 5, and the sum of the squares of these numbers is 3800, then the value of C is:
A bag contains ₹310 in the form of 5 rupee, 2 rupee and 1 rupee coins in the ratio 4 ∶ 3 ∶ 5. What is the number of 5 rupee coins?
The ratio of three numbers is 3 ∶ 5 ∶ 4 and the sum of their squares is 11250. Find the sum of the numbers.
When 'x' is subtracted from each of the numbers 22, 39, 56 and 107, then the resulting numbers, in this order, are in proportion. What is the mean proportional between (x + 3) and (3x - 7)?
The salaries of Ravi and Sumit are in the ratio 4 ∶ 5. If the salary of each is increased by Rs. 6,000 the new ratio becomes 35 ∶ 40. What will be Sumit's increased salary?
