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Finding the Third Proportional to 106.97 and 218.86

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Solution

The third proportional to 106.97 and 218.86 is: 447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 218.86 = 218.86 : x
  2. Step 2: Convert to fraction form
    106.97/218.86 = 218.86/x
  3. Step 3: Cross multiply
    106.97x = 218.86 × 218.86
  4. Step 4: Simplify right side
    106.97x = 47,899.43
  5. Step 5: Solve for x
    x = 47,899.43/106.97
  6. Step 6: Final answer
    x = 447.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.