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Finding the Third Proportional to 122.25 and 169.69

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Solution

The third proportional to 122.25 and 169.69 is: 235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.25 : 169.69 = 169.69 : x
  2. Step 2: Convert to fraction form
    122.25/169.69 = 169.69/x
  3. Step 3: Cross multiply
    122.25x = 169.69 × 169.69
  4. Step 4: Simplify right side
    122.25x = 28,793.85
  5. Step 5: Solve for x
    x = 28,793.85/122.25
  6. Step 6: Final answer
    x = 235.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.