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Finding the Third Proportional to 83,976 and 177,432

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Solution

The third proportional to 83,976 and 177,432 is: 374,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,976 : 177,432 = 177,432 : x
  2. Step 2: Convert to fraction form
    83,976/177,432 = 177,432/x
  3. Step 3: Cross multiply
    83,976x = 177,432 × 177,432
  4. Step 4: Simplify right side
    83,976x = 31,482,114,624
  5. Step 5: Solve for x
    x = 31,482,114,624/83,976
  6. Step 6: Final answer
    x = 374,894.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.