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Finding the Third Proportional to 187,742 and 391,016

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Solution

The third proportional to 187,742 and 391,016 is: 814,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,742 : 391,016 = 391,016 : x
  2. Step 2: Convert to fraction form
    187,742/391,016 = 391,016/x
  3. Step 3: Cross multiply
    187,742x = 391,016 × 391,016
  4. Step 4: Simplify right side
    187,742x = 152,893,512,256
  5. Step 5: Solve for x
    x = 152,893,512,256/187,742
  6. Step 6: Final answer
    x = 814,380.97

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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.