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Finding the Third Proportional to 109.11 and 221.38

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Solution

The third proportional to 109.11 and 221.38 is: 449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.11 : 221.38 = 221.38 : x
  2. Step 2: Convert to fraction form
    109.11/221.38 = 221.38/x
  3. Step 3: Cross multiply
    109.11x = 221.38 × 221.38
  4. Step 4: Simplify right side
    109.11x = 49,008.62
  5. Step 5: Solve for x
    x = 49,008.62/109.11
  6. Step 6: Final answer
    x = 449.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.