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Finding the Third Proportional to 67,489 and 161,188

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Solution

The third proportional to 67,489 and 161,188 is: 384,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,489 : 161,188 = 161,188 : x
  2. Step 2: Convert to fraction form
    67,489/161,188 = 161,188/x
  3. Step 3: Cross multiply
    67,489x = 161,188 × 161,188
  4. Step 4: Simplify right side
    67,489x = 25,981,571,344
  5. Step 5: Solve for x
    x = 25,981,571,344/67,489
  6. Step 6: Final answer
    x = 384,974.90

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.