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Finding the Third Proportional to 171.38 and 254.44

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Solution

The third proportional to 171.38 and 254.44 is: 377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.38 : 254.44 = 254.44 : x
  2. Step 2: Convert to fraction form
    171.38/254.44 = 254.44/x
  3. Step 3: Cross multiply
    171.38x = 254.44 × 254.44
  4. Step 4: Simplify right side
    171.38x = 64,738.44
  5. Step 5: Solve for x
    x = 64,738.44/171.38
  6. Step 6: Final answer
    x = 377.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.