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Finding the Third Proportional to 111.66 and 249.47

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Solution

The third proportional to 111.66 and 249.47 is: 557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.66 : 249.47 = 249.47 : x
  2. Step 2: Convert to fraction form
    111.66/249.47 = 249.47/x
  3. Step 3: Cross multiply
    111.66x = 249.47 × 249.47
  4. Step 4: Simplify right side
    111.66x = 62,234.66
  5. Step 5: Solve for x
    x = 62,234.66/111.66
  6. Step 6: Final answer
    x = 557.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.