Question
Find the third proportional to $2 \frac{2}{3}$ and 4
✓
Answer
Let the third proportional to $2 \frac{2}{3}$ and 4 be $x$
$=>2 \frac{2}{3}, 4, x$ are in continued proportion.
$\Rightarrow 2 \frac{2}{3}: 4=4: x$
$\Rightarrow \frac{\frac{8}{3}}{4}=\frac{4}{x}$
$\Rightarrow x=16 x \frac{3}{8}=6$
$=>2 \frac{2}{3}, 4, x$ are in continued proportion.
$\Rightarrow 2 \frac{2}{3}: 4=4: x$
$\Rightarrow \frac{\frac{8}{3}}{4}=\frac{4}{x}$
$\Rightarrow x=16 x \frac{3}{8}=6$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If $a: b=4: 7$, find the following:
$\frac{5 a+2 b}{5 a-2 b}$
→$\frac{5 a+2 b}{5 a-2 b}$
The probability that two boys do not have the same birthday is 0.897. What is the probability that the two boys have the same birthday?
Without solving the following quadratic equation, find the value of ‘p’ for which the given equations have real and equal roots: $x^2 + (p – 2)x + p = 0.$
→Describe the locus for questions 1 to 13 given below:
The locus of a point in rhombus ABCD, so that it is equidistant from
(i) AB and BC; (ii) B and D .
A $(1, −5),$ B$ (2, 2)$ and C$ (−2, 4)$ are the vertices of triangle ABC, Find the equation of :
the altitude of the triangle through B.
→the altitude of the triangle through B.
Find the slope of the line which is perpendicular to:
$x-\frac{y}{2}+3=0$
→$x-\frac{y}{2}+3=0$
Without using set squares or protractor construct:
(i) Triangle ABC, in which AB = 5.5 cm, BC = 3.2 cm and CA = 4.8 cm.
(ii) Draw the locus of a point which moves so that it is always 2.5 cm from B.
(iii) Draw the locus of a point which moves so that it is equidistant from the sides BC and CA.
(iv) Mark the point of intersection of the loci with the letter P and measure PC.
(i) Triangle ABC, in which AB = 5.5 cm, BC = 3.2 cm and CA = 4.8 cm.
(ii) Draw the locus of a point which moves so that it is always 2.5 cm from B.
(iii) Draw the locus of a point which moves so that it is equidistant from the sides BC and CA.
(iv) Mark the point of intersection of the loci with the letter P and measure PC.
Find $AD$
→Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting all tails
From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is:
a face card
a face card