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Finding the Third Proportional to 120,387 and 161,058

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Solution

The third proportional to 120,387 and 161,058 is: 215,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,387 : 161,058 = 161,058 : x
  2. Step 2: Convert to fraction form
    120,387/161,058 = 161,058/x
  3. Step 3: Cross multiply
    120,387x = 161,058 × 161,058
  4. Step 4: Simplify right side
    120,387x = 25,939,679,364
  5. Step 5: Solve for x
    x = 25,939,679,364/120,387
  6. Step 6: Final answer
    x = 215,469.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.