Question
Find the third proportion to the following :
3 and 15

Answer

Let x be the third proportion
3 : 15 :: 15 : x
⇒ 3 × x- 15 x 15
⇒ 3 x = 225
⇒ x = 75
The third proportion is 75.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Nine cards (identical in all respects) are numbered 2 to 10. A card is selected from them at random. Find the probability that the card selected will be:   an even number and a multiple of 3 
The coordinates of the end points of the diameter of a circle are (3, 1) and (7, 11). Find the coordinates of the centre of the circle.
A doorway is decorated as shown in the figure. There are four semi-circles. $BC,$ the diameter of the larger semi-circle is of length $84\  cm.$ Centres of the three equal semicircles lie on $BC. ABC$ is an isosceles triangle with $AB = AC.$ If $BO = OC,$ find the area of the shaded region. (Take $\left.\pi=\frac{22}{7}\right)$
Mr. Pankaj took Health Insurance Policy for his family and paid Rs. 900 as SGST. Find the total annual premium paid by him for this policy, rate of GST being 18%.
A metallic cylinder has a radius of 3 cm and a height of 5 cm. It is made of metal A. To reduce its weight, a conical hole is drilled in the cylinder, as shown and it is completely filled with a lighter metal B. The conical hole has a radius of $\frac{3}{2}$ cm and its depth is $\frac{8}{9}$ cm. Calculate the ratio of the volume of the metal A to the volume of metal B in the solid.
If $A =\left[\begin{array}{ll}3 & 3 \\ p & q\end{array}\right]$ and $A ^2=0$ find $p$ and $q$
Evaluate $\sin^234^\circ + \sin^256^\circ + 2tan \ 18^\circ \ tan72^\circ - \cot^230^\circ$
Point $A ( 4,-1)$ is reflected as A' in the line $x= 1.$ Point B on reflection in the line $y=3$ is mapped as $B' (6,-1).$ Write the co-ordinates of A' and B. Write the co-ordinates of mid.-ooint of the line sgment A' B'.
The first and last terms of an AP are $5$ and $45$. If the sum of the terms is $400,$ find the number of the terms and the common difference.
If x, y, z are in continued proportion prove that $\frac{(x+y)^2}{(y+z)^2}=\frac{x}{z}$