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Finding the Third Proportional to 80,415 and 171,517

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Solution

The third proportional to 80,415 and 171,517 is: 365,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,415 : 171,517 = 171,517 : x
  2. Step 2: Convert to fraction form
    80,415/171,517 = 171,517/x
  3. Step 3: Cross multiply
    80,415x = 171,517 × 171,517
  4. Step 4: Simplify right side
    80,415x = 29,418,081,289
  5. Step 5: Solve for x
    x = 29,418,081,289/80,415
  6. Step 6: Final answer
    x = 365,828.28

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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.