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Finding the Third Proportional to 54.13 and 126.31

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Solution

The third proportional to 54.13 and 126.31 is: 294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.13 : 126.31 = 126.31 : x
  2. Step 2: Convert to fraction form
    54.13/126.31 = 126.31/x
  3. Step 3: Cross multiply
    54.13x = 126.31 × 126.31
  4. Step 4: Simplify right side
    54.13x = 15,954.85
  5. Step 5: Solve for x
    x = 15,954.85/54.13
  6. Step 6: Final answer
    x = 294.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.