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Finding the Third Proportional to 80,419 and 171,525

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Solution

The third proportional to 80,419 and 171,525 is: 365,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,419 : 171,525 = 171,525 : x
  2. Step 2: Convert to fraction form
    80,419/171,525 = 171,525/x
  3. Step 3: Cross multiply
    80,419x = 171,525 × 171,525
  4. Step 4: Simplify right side
    80,419x = 29,420,825,625
  5. Step 5: Solve for x
    x = 29,420,825,625/80,419
  6. Step 6: Final answer
    x = 365,844.21

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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.