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Finding the Third Proportional to 178,302 and 391,592

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Solution

The third proportional to 178,302 and 391,592 is: 860,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,302 : 391,592 = 391,592 : x
  2. Step 2: Convert to fraction form
    178,302/391,592 = 391,592/x
  3. Step 3: Cross multiply
    178,302x = 391,592 × 391,592
  4. Step 4: Simplify right side
    178,302x = 153,344,294,464
  5. Step 5: Solve for x
    x = 153,344,294,464/178,302
  6. Step 6: Final answer
    x = 860,025.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.