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Finding the Third Proportional to 90,873 and 137,949

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Solution

The third proportional to 90,873 and 137,949 is: 209,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,873 : 137,949 = 137,949 : x
  2. Step 2: Convert to fraction form
    90,873/137,949 = 137,949/x
  3. Step 3: Cross multiply
    90,873x = 137,949 × 137,949
  4. Step 4: Simplify right side
    90,873x = 19,029,926,601
  5. Step 5: Solve for x
    x = 19,029,926,601/90,873
  6. Step 6: Final answer
    x = 209,412.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.