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Finding the Third Proportional to 138.29 and 187.68

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Solution

The third proportional to 138.29 and 187.68 is: 254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.29 : 187.68 = 187.68 : x
  2. Step 2: Convert to fraction form
    138.29/187.68 = 187.68/x
  3. Step 3: Cross multiply
    138.29x = 187.68 × 187.68
  4. Step 4: Simplify right side
    138.29x = 35,223.16
  5. Step 5: Solve for x
    x = 35,223.16/138.29
  6. Step 6: Final answer
    x = 254.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.