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Finding the Third Proportional to 76,891 and 117,542

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Solution

The third proportional to 76,891 and 117,542 is: 179,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,891 : 117,542 = 117,542 : x
  2. Step 2: Convert to fraction form
    76,891/117,542 = 117,542/x
  3. Step 3: Cross multiply
    76,891x = 117,542 × 117,542
  4. Step 4: Simplify right side
    76,891x = 13,816,121,764
  5. Step 5: Solve for x
    x = 13,816,121,764/76,891
  6. Step 6: Final answer
    x = 179,684.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.