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Finding the Third Proportional to 187,940 and 391,432

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Solution

The third proportional to 187,940 and 391,432 is: 815,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,940 : 391,432 = 391,432 : x
  2. Step 2: Convert to fraction form
    187,940/391,432 = 391,432/x
  3. Step 3: Cross multiply
    187,940x = 391,432 × 391,432
  4. Step 4: Simplify right side
    187,940x = 153,219,010,624
  5. Step 5: Solve for x
    x = 153,219,010,624/187,940
  6. Step 6: Final answer
    x = 815,254.93

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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.