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Finding the Third Proportional to 121.74 and 249.88

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Solution

The third proportional to 121.74 and 249.88 is: 512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 249.88 = 249.88 : x
  2. Step 2: Convert to fraction form
    121.74/249.88 = 249.88/x
  3. Step 3: Cross multiply
    121.74x = 249.88 × 249.88
  4. Step 4: Simplify right side
    121.74x = 62,440.93
  5. Step 5: Solve for x
    x = 62,440.93/121.74
  6. Step 6: Final answer
    x = 512.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.