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Finding the Third Proportional to 115.38 and 171.39

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Solution

The third proportional to 115.38 and 171.39 is: 254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.38 : 171.39 = 171.39 : x
  2. Step 2: Convert to fraction form
    115.38/171.39 = 171.39/x
  3. Step 3: Cross multiply
    115.38x = 171.39 × 171.39
  4. Step 4: Simplify right side
    115.38x = 29,373.41
  5. Step 5: Solve for x
    x = 29,373.41/115.38
  6. Step 6: Final answer
    x = 254.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.