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Finding the Third Proportional to 62,780 and 135,519

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Solution

The third proportional to 62,780 and 135,519 is: 292,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,780 : 135,519 = 135,519 : x
  2. Step 2: Convert to fraction form
    62,780/135,519 = 135,519/x
  3. Step 3: Cross multiply
    62,780x = 135,519 × 135,519
  4. Step 4: Simplify right side
    62,780x = 18,365,399,361
  5. Step 5: Solve for x
    x = 18,365,399,361/62,780
  6. Step 6: Final answer
    x = 292,535.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.