BA percent proportion is a proportion that sets the ratio of a part of a whole equal to the ratio of a percent out of 100.
CA percent proportion is a proportion that sets the ratio of a part of a whole equal to the ratio of a percent out of 100.
Aabout 3.41 %
Babout 24 795.62km
Cabout 6378.16km
Practice makes perfect
We want to find the percent of Jupiter's radius that Mercury's radius is. Let's use a percent proportion, a proportion that sets the ratio of a part of a whole equal to the ratio of a percent out of 100, to help us.
part/whole=percent/100
According to the given table, Jupiter's radius is 71 492 kilometers and Mercury's radius is 2440 kilometers. Let x represent the desired percent.
2440/71 492=x/100
Now we can solve the proportion that we wrote for x. Remember that the cross products of any proportion are equal.
We found that x≈ 3.41 is the solution to the proportion. This means that Mercury's radius is about 3.41 % of Jupiter's radius.
We want to find the radius of Neptune. Let's write another percent proportion.
part/whole=percent/100
We are given that the radius of Mars is 3397 kilometers and that it is about 13.7 % of Neptune's radius. Let x represent the radius of Neptune.
3397/x=13.7/100
Now we can solve the proportion that we got for x using cross products.
We got that x≈ 24 795.62 is the solution to the proportion. This means that the radius of Neptune is about 24 795.62 kilometers.
We want to find the radius of Earth. Let's use a percent proportion.
part/whole=percent/100
We are given that the radius of Mercury is 2440 kilometers and that Earth's radius is about 261.4 % of Mercury's radius. Let x represent Earth's radius.
x/2440=261.4/100
Now we can solve the proportion that we got for x. To do so, we will use the fact that the cross products of any proportion are equal.
