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Finding the Third Proportional to 120.52 and 249.61

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Solution

The third proportional to 120.52 and 249.61 is: 516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 249.61 = 249.61 : x
  2. Step 2: Convert to fraction form
    120.52/249.61 = 249.61/x
  3. Step 3: Cross multiply
    120.52x = 249.61 × 249.61
  4. Step 4: Simplify right side
    120.52x = 62,304.84
  5. Step 5: Solve for x
    x = 62,304.84/120.52
  6. Step 6: Final answer
    x = 516.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.