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Finding the Third Proportional to 60.13 and 138.29

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Solution

The third proportional to 60.13 and 138.29 is: 318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.13 : 138.29 = 138.29 : x
  2. Step 2: Convert to fraction form
    60.13/138.29 = 138.29/x
  3. Step 3: Cross multiply
    60.13x = 138.29 × 138.29
  4. Step 4: Simplify right side
    60.13x = 19,123.70
  5. Step 5: Solve for x
    x = 19,123.70/60.13
  6. Step 6: Final answer
    x = 318.06

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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.