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Finding the Third Proportional to 80,416 and 171,519

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Solution

The third proportional to 80,416 and 171,519 is: 365,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,416 : 171,519 = 171,519 : x
  2. Step 2: Convert to fraction form
    80,416/171,519 = 171,519/x
  3. Step 3: Cross multiply
    80,416x = 171,519 × 171,519
  4. Step 4: Simplify right side
    80,416x = 29,418,767,361
  5. Step 5: Solve for x
    x = 29,418,767,361/80,416
  6. Step 6: Final answer
    x = 365,832.26

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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.