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Finding the Third Proportional to 187,989.47 and 391,469.91

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Solution

The third proportional to 187,989.47 and 391,469.91 is: 815,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,989.47 : 391,469.91 = 391,469.91 : x
  2. Step 2: Convert to fraction form
    187,989.47/391,469.91 = 391,469.91/x
  3. Step 3: Cross multiply
    187,989.47x = 391,469.91 × 391,469.91
  4. Step 4: Simplify right side
    187,989.47x = 153,248,687,499.38
  5. Step 5: Solve for x
    x = 153,248,687,499.38/187,989.47
  6. Step 6: Final answer
    x = 815,198.26

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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.