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Finding the Third Proportional to 103,601 and 135,448

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Solution

The third proportional to 103,601 and 135,448 is: 177,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,601 : 135,448 = 135,448 : x
  2. Step 2: Convert to fraction form
    103,601/135,448 = 135,448/x
  3. Step 3: Cross multiply
    103,601x = 135,448 × 135,448
  4. Step 4: Simplify right side
    103,601x = 18,346,160,704
  5. Step 5: Solve for x
    x = 18,346,160,704/103,601
  6. Step 6: Final answer
    x = 177,084.78

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.