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Finding the Third Proportional to 78,341 and 172,234

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Solution

The third proportional to 78,341 and 172,234 is: 378,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,341 : 172,234 = 172,234 : x
  2. Step 2: Convert to fraction form
    78,341/172,234 = 172,234/x
  3. Step 3: Cross multiply
    78,341x = 172,234 × 172,234
  4. Step 4: Simplify right side
    78,341x = 29,664,550,756
  5. Step 5: Solve for x
    x = 29,664,550,756/78,341
  6. Step 6: Final answer
    x = 378,659.33

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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.