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Finding the Third Proportional to 178,498 and 391,502

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Solution

The third proportional to 178,498 and 391,502 is: 858,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,498 : 391,502 = 391,502 : x
  2. Step 2: Convert to fraction form
    178,498/391,502 = 391,502/x
  3. Step 3: Cross multiply
    178,498x = 391,502 × 391,502
  4. Step 4: Simplify right side
    178,498x = 153,273,816,004
  5. Step 5: Solve for x
    x = 153,273,816,004/178,498
  6. Step 6: Final answer
    x = 858,686.46

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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.