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Ratio and Proportion — Part 1: Ratios, proportion and proportionals

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Lesson

Ratio and Proportion, Part 1

A ratio compares two quantities; a proportion says two ratios are equal.

In this lesson you will

  • Form duplicate, triplicate, sub-duplicate, sub-triplicate, reciprocal and compound ratios
  • Test whether four numbers are in proportion and find the fourth proportional
  • Find the mean proportional and the third proportional
  • Work with numbers in continued proportion
Ratio, proportion and continued proportion.
IdeaExampleTest
Ratio12:18=2:312 : 18 = 2 : 3divide both terms by 66
Proportion2:3=8:122 : 3 = 8 : 122×12=3×8=242 \times 12 = 3 \times 8 = 24
Continued proportion4,6,94, 6, 962=4×9=366^2 = 4 \times 9 = 36