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Finding the Third Proportional to 83,272 and 120,372

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Solution

The third proportional to 83,272 and 120,372 is: 174,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,272 : 120,372 = 120,372 : x
  2. Step 2: Convert to fraction form
    83,272/120,372 = 120,372/x
  3. Step 3: Cross multiply
    83,272x = 120,372 × 120,372
  4. Step 4: Simplify right side
    83,272x = 14,489,418,384
  5. Step 5: Solve for x
    x = 14,489,418,384/83,272
  6. Step 6: Final answer
    x = 174,001.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.