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Finding the Third Proportional to 122.20 and 226.27

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Solution

The third proportional to 122.20 and 226.27 is: 418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.20 : 226.27 = 226.27 : x
  2. Step 2: Convert to fraction form
    122.20/226.27 = 226.27/x
  3. Step 3: Cross multiply
    122.20x = 226.27 × 226.27
  4. Step 4: Simplify right side
    122.20x = 51,196.13
  5. Step 5: Solve for x
    x = 51,196.13/122.20
  6. Step 6: Final answer
    x = 418.94

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.