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Finding the Third Proportional to 178,781.38 and 391,704.25

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Solution

The third proportional to 178,781.38 and 391,704.25 is: 858,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,781.38 : 391,704.25 = 391,704.25 : x
  2. Step 2: Convert to fraction form
    178,781.38/391,704.25 = 391,704.25/x
  3. Step 3: Cross multiply
    178,781.38x = 391,704.25 × 391,704.25
  4. Step 4: Simplify right side
    178,781.38x = 153,432,219,468.06
  5. Step 5: Solve for x
    x = 153,432,219,468.06/178,781.38
  6. Step 6: Final answer
    x = 858,211.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.