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Finding the Third Proportional to 103.25 and 226.38

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Solution

The third proportional to 103.25 and 226.38 is: 496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.25 : 226.38 = 226.38 : x
  2. Step 2: Convert to fraction form
    103.25/226.38 = 226.38/x
  3. Step 3: Cross multiply
    103.25x = 226.38 × 226.38
  4. Step 4: Simplify right side
    103.25x = 51,245.64
  5. Step 5: Solve for x
    x = 51,245.64/103.25
  6. Step 6: Final answer
    x = 496.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.