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Finding the Third Proportional to 125.56 and 220.69

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Solution

The third proportional to 125.56 and 220.69 is: 387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.56 : 220.69 = 220.69 : x
  2. Step 2: Convert to fraction form
    125.56/220.69 = 220.69/x
  3. Step 3: Cross multiply
    125.56x = 220.69 × 220.69
  4. Step 4: Simplify right side
    125.56x = 48,702.97
  5. Step 5: Solve for x
    x = 48,702.97/125.56
  6. Step 6: Final answer
    x = 387.88

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.