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Finding the Third Proportional to 138.75 and 168.38

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Solution

The third proportional to 138.75 and 168.38 is: 204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.75 : 168.38 = 168.38 : x
  2. Step 2: Convert to fraction form
    138.75/168.38 = 168.38/x
  3. Step 3: Cross multiply
    138.75x = 168.38 × 168.38
  4. Step 4: Simplify right side
    138.75x = 28,350.14
  5. Step 5: Solve for x
    x = 28,350.14/138.75
  6. Step 6: Final answer
    x = 204.33

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.