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Finding the Third Proportional to 80,392 and 171,461

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Solution

The third proportional to 80,392 and 171,461 is: 365,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,392 : 171,461 = 171,461 : x
  2. Step 2: Convert to fraction form
    80,392/171,461 = 171,461/x
  3. Step 3: Cross multiply
    80,392x = 171,461 × 171,461
  4. Step 4: Simplify right side
    80,392x = 29,398,874,521
  5. Step 5: Solve for x
    x = 29,398,874,521/80,392
  6. Step 6: Final answer
    x = 365,694.03

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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.