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Finding the Third Proportional to 71,940 and 108,908

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Solution

The third proportional to 71,940 and 108,908 is: 164,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,940 : 108,908 = 108,908 : x
  2. Step 2: Convert to fraction form
    71,940/108,908 = 108,908/x
  3. Step 3: Cross multiply
    71,940x = 108,908 × 108,908
  4. Step 4: Simplify right side
    71,940x = 11,860,952,464
  5. Step 5: Solve for x
    x = 11,860,952,464/71,940
  6. Step 6: Final answer
    x = 164,872.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.