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Finding the Third Proportional to 114.54 and 249.96

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Solution

The third proportional to 114.54 and 249.96 is: 545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 249.96 = 249.96 : x
  2. Step 2: Convert to fraction form
    114.54/249.96 = 249.96/x
  3. Step 3: Cross multiply
    114.54x = 249.96 × 249.96
  4. Step 4: Simplify right side
    114.54x = 62,480.47
  5. Step 5: Solve for x
    x = 62,480.47/114.54
  6. Step 6: Final answer
    x = 545.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.