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Finding the Third Proportional to 178,776 and 391,689

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Solution

The third proportional to 178,776 and 391,689 is: 858,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,776 : 391,689 = 391,689 : x
  2. Step 2: Convert to fraction form
    178,776/391,689 = 391,689/x
  3. Step 3: Cross multiply
    178,776x = 391,689 × 391,689
  4. Step 4: Simplify right side
    178,776x = 153,420,272,721
  5. Step 5: Solve for x
    x = 153,420,272,721/178,776
  6. Step 6: Final answer
    x = 858,170.41

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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.