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Finding the Third Proportional to 103.78 and 226.97

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Solution

The third proportional to 103.78 and 226.97 is: 496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.78 : 226.97 = 226.97 : x
  2. Step 2: Convert to fraction form
    103.78/226.97 = 226.97/x
  3. Step 3: Cross multiply
    103.78x = 226.97 × 226.97
  4. Step 4: Simplify right side
    103.78x = 51,514.81
  5. Step 5: Solve for x
    x = 51,514.81/103.78
  6. Step 6: Final answer
    x = 496.38

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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.