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Finding the Third Proportional to 81,252 and 123,446

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Solution

The third proportional to 81,252 and 123,446 is: 187,551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,252 : 123,446 = 123,446 : x
  2. Step 2: Convert to fraction form
    81,252/123,446 = 123,446/x
  3. Step 3: Cross multiply
    81,252x = 123,446 × 123,446
  4. Step 4: Simplify right side
    81,252x = 15,238,914,916
  5. Step 5: Solve for x
    x = 15,238,914,916/81,252
  6. Step 6: Final answer
    x = 187,551.26

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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.