Advertisements
Advertisements
Question
Do the ratios 15 cm to 2 m and 10 sec to 3 minutes form a proportion?
Advertisements
Solution 1
15 cm : 2 m :: 10 sec : 3 min
15 cm : 2 × 100 cm :: 10 sec : 30 × 60 sec
15 : 200 :: 10 : 1800
3 : 40 :: 1 : 180
No, they donot form a proportion
Solution 2
Ratio of 15 cm to 2 m = 15: 2 × 100 (1 m = 100 cm)
= 3: 40
Ratio of 10 sec to 3 min = 10: 3 × 60 (1 min = 60 sec)
=1: 18
Since, 3: 40 ≠ 1: 18, therefore, the given ratios do not form a proportion.
APPEARS IN
RELATED QUESTIONS
If a, b and c are in continued proportion, prove that `(a^2 + b^2 + c^2)/(a + b + c)^2 = (a - b + c)/(a + b + c)`
The following numbers, K + 3, K + 2, 3K – 7 and 2K – 3 are in proportion. Find k.
If y is the mean proportional between x and z, show that :
xyz (x+y+z)3 =(xy+yz+xz)3
In covering 111 km, a car consumes 6 L of petrol. How many kilometers will it go to 10 L of petrol?
If a, b, c and d are in proportion, prove that: (ma + nb) : b = (mc + nd) : d
If a, b, c and d are in proportion, prove that: `(a^2 + ab + b^2)/(a^2 - ab + b^2) = (c^2 + cd + d^2)/(c^2 - cd + d^2)`
What number must be added to each of the numbers 15, 17, 34 and 38 to make them proportional?
If 2, 6, p, 54 and q are in continued proportion, find the values of p and q.
Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.
39 litres : 65 litres and 6 bottles : 10 bottles
The table, given below, shows the values of x and y, where x is proportional (directly proportional) to y.
| x | A | 24 | 15 |
| y | 12 | B | 20 |
The values of A and B are:
