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Finding the Third Proportional to 122.91 and 226.31

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Solution

The third proportional to 122.91 and 226.31 is: 416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 226.31 = 226.31 : x
  2. Step 2: Convert to fraction form
    122.91/226.31 = 226.31/x
  3. Step 3: Cross multiply
    122.91x = 226.31 × 226.31
  4. Step 4: Simplify right side
    122.91x = 51,217.35
  5. Step 5: Solve for x
    x = 51,217.35/122.91
  6. Step 6: Final answer
    x = 416.72

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.