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Finding the Third Proportional to 60,494 and 138,851

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Solution

The third proportional to 60,494 and 138,851 is: 318,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,494 : 138,851 = 138,851 : x
  2. Step 2: Convert to fraction form
    60,494/138,851 = 138,851/x
  3. Step 3: Cross multiply
    60,494x = 138,851 × 138,851
  4. Step 4: Simplify right side
    60,494x = 19,279,600,201
  5. Step 5: Solve for x
    x = 19,279,600,201/60,494
  6. Step 6: Final answer
    x = 318,702.68

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.