what denminator for 21/3=49/? would make these ratios proportional?
To make the ratios proportional, you need to find the missing denominator in the second ratio.
The given ratio is 21/3 = 49/?
To find the missing denominator, you can use the cross-multiplication method. This involves multiplying both sides of the equation by the denominators from the other side.
Cross-multiplying the given ratio:
(21) * (?) = (3) * (49)
The equation becomes:
21 * ? = 3 * 49
To find the missing denominator, divide both sides by 21:
? = (3 * 49) / 21
Simplifying the right side:
? = 147/21
Therefore, the missing denominator that would make the ratios proportional is 147.
To make the ratios proportional, we need to find the denominator for the second ratio.
Given:
First ratio: 21/3
Second ratio: 49/x (let x be the denominator we're looking for)
To find the proportional denominator, we can set up a proportion by equating the ratios:
21/3 = 49/x
Now, we can cross-multiply and solve for x:
21x = 3 * 49
First, multiply 3 and 49:
21x = 147
To isolate x, divide both sides of the equation by 21:
x = 147/21
Now, simplify the fraction:
x = 7
Therefore, a denominator of 7 will make the ratios 21/3 and 49/7 proportional.
To find the missing denominator that would make the ratios proportional, we can establish a proportion between the two given ratios and solve for the missing value. In this case, the given ratios are 21/3 and 49/x.
To set up the proportion, we can cross-multiply:
(21/3) = (49/x)
Cross-multiplying gives us the equation:
21x = 49 * 3
Now, solve for x by dividing both sides of the equation by 21:
x = (49 * 3) / 21
x = 7
Therefore, the denominator that would make the ratios 21/3 and 49/7 proportional is 7.