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Finding the Third Proportional to 87,770.25 and 139,654.13

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Solution

The third proportional to 87,770.25 and 139,654.13 is: 222,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,770.25 : 139,654.13 = 139,654.13 : x
  2. Step 2: Convert to fraction form
    87,770.25/139,654.13 = 139,654.13/x
  3. Step 3: Cross multiply
    87,770.25x = 139,654.13 × 139,654.13
  4. Step 4: Simplify right side
    87,770.25x = 19,503,274,629.52
  5. Step 5: Solve for x
    x = 19,503,274,629.52/87,770.25
  6. Step 6: Final answer
    x = 222,208.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.