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Finding the Third Proportional to 122.75 and 144.11

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Solution

The third proportional to 122.75 and 144.11 is: 169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 144.11 = 144.11 : x
  2. Step 2: Convert to fraction form
    122.75/144.11 = 144.11/x
  3. Step 3: Cross multiply
    122.75x = 144.11 × 144.11
  4. Step 4: Simplify right side
    122.75x = 20,766.39
  5. Step 5: Solve for x
    x = 20,766.39/122.75
  6. Step 6: Final answer
    x = 169.18

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.