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Finding the Third Proportional to 178,311 and 391,610

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Solution

The third proportional to 178,311 and 391,610 is: 860,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,311 : 391,610 = 391,610 : x
  2. Step 2: Convert to fraction form
    178,311/391,610 = 391,610/x
  3. Step 3: Cross multiply
    178,311x = 391,610 × 391,610
  4. Step 4: Simplify right side
    178,311x = 153,358,392,100
  5. Step 5: Solve for x
    x = 153,358,392,100/178,311
  6. Step 6: Final answer
    x = 860,061.31

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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.