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Finding the Third Proportional to 43.83 and 67.97

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Solution

The third proportional to 43.83 and 67.97 is: 105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.83 : 67.97 = 67.97 : x
  2. Step 2: Convert to fraction form
    43.83/67.97 = 67.97/x
  3. Step 3: Cross multiply
    43.83x = 67.97 × 67.97
  4. Step 4: Simplify right side
    43.83x = 4,619.75
  5. Step 5: Solve for x
    x = 4,619.75/43.83
  6. Step 6: Final answer
    x = 105.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.