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Finding the Third Proportional to 187,767 and 391,059

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Solution

The third proportional to 187,767 and 391,059 is: 814,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,767 : 391,059 = 391,059 : x
  2. Step 2: Convert to fraction form
    187,767/391,059 = 391,059/x
  3. Step 3: Cross multiply
    187,767x = 391,059 × 391,059
  4. Step 4: Simplify right side
    187,767x = 152,927,141,481
  5. Step 5: Solve for x
    x = 152,927,141,481/187,767
  6. Step 6: Final answer
    x = 814,451.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.