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Finding the Third Proportional to 32,918 and 72,086

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Solution

The third proportional to 32,918 and 72,086 is: 157,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,918 : 72,086 = 72,086 : x
  2. Step 2: Convert to fraction form
    32,918/72,086 = 72,086/x
  3. Step 3: Cross multiply
    32,918x = 72,086 × 72,086
  4. Step 4: Simplify right side
    32,918x = 5,196,391,396
  5. Step 5: Solve for x
    x = 5,196,391,396/32,918
  6. Step 6: Final answer
    x = 157,858.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.