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Proportions or Equivalent Ratios

This topic covers the key concepts of proportions such as find a missing term in a proportion, determine if the terms are in proportion and establish a proportion to solve problems.

Topic: Missing Term for Equivalent Ratios

  • A proportion indicates that the two ratios are equivalent or equal to each other.

    E.g. if a : b and c : d are in proportion, then
      a = c
      b    d

  • Each quantity in a proportion is called a term or proportion

  • If two ratios are proportional, then their cross products should be equal, that is
    a x d = c x b

  • To find any missing term use cross multiplication

Topic: Are Ratios in Proportion?

  • A proportion indicates that the two ratios are equivalent or equal to each other.
    E.g. if a : b and c : d are in proportion, then
      a = c
      b    d

  • To identify whether the terms are proportional or not, check if there cross product is equal that is,

    Is a x b = c x d ?

  • If a x d = c x b, then the terms are proportional

Topic: Establish Proportion for Missing Term

  • A proportion indicates that the two ratios are equivalent or equal to each other.
    E.g. if a : b and c : d are in proportion, then
      a = c
      b    d

  • If two ratios are proportional, then their cross products should be equal, that is
    a x d = c x b

  • The missing term can be found using the cross multiplication

Topic: Missing Terms in Proportion

  • A proportion indicates that the two ratios are equivalent or equal to each other.

    E.g. if a : b and c : d are in proportion, then
      a = c
      b    d

  • To find a missing proportion establish the cross product of ratios.
    E.g. if the third proportion c is missing then use a x d = c x d to calculate c

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