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Finding the Third Proportional to 80,515 and 171,425

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Solution

The third proportional to 80,515 and 171,425 is: 364,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,515 : 171,425 = 171,425 : x
  2. Step 2: Convert to fraction form
    80,515/171,425 = 171,425/x
  3. Step 3: Cross multiply
    80,515x = 171,425 × 171,425
  4. Step 4: Simplify right side
    80,515x = 29,386,530,625
  5. Step 5: Solve for x
    x = 29,386,530,625/80,515
  6. Step 6: Final answer
    x = 364,982.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.