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Theory:

A ratio is a comparison of values. In other words, 'a ratio describes how much of something exists in comparison with another'.
Example:
There are \(2\) eggs and \(3\) cups of flour.
10_ratio_updated.png
Ratios can be shown in a variety of ways:
  • Use "\(:\) "to set the values as \(2\)\(:\)\(3\).
  • Perhaps we can use the word "to" as \(2\) to \(3\).
  • It can also be expressed as a fraction \(\frac {2}{3}\).
A proportion states that two ratios (or fractions) are the same.
Example:
10_proportion_updated.png
 
We can easily see from the above picture that \(\frac {2}{3}\) \(=\) \(\frac {4}{6}\).
 
In other words, \(2\) eggs out of \(3\) cups of flour is equal to \(4\) eggs out of  \(6\) cups of flour.
 
There is no difference in the ratios. Therefore, they are proportional.