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Finding the Third Proportional to 63,940 and 139,542

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Solution

The third proportional to 63,940 and 139,542 is: 304,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,940 : 139,542 = 139,542 : x
  2. Step 2: Convert to fraction form
    63,940/139,542 = 139,542/x
  3. Step 3: Cross multiply
    63,940x = 139,542 × 139,542
  4. Step 4: Simplify right side
    63,940x = 19,471,969,764
  5. Step 5: Solve for x
    x = 19,471,969,764/63,940
  6. Step 6: Final answer
    x = 304,535.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.