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Finding the Third Proportional to 43.66 and 100.62

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Solution

The third proportional to 43.66 and 100.62 is: 231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.66 : 100.62 = 100.62 : x
  2. Step 2: Convert to fraction form
    43.66/100.62 = 100.62/x
  3. Step 3: Cross multiply
    43.66x = 100.62 × 100.62
  4. Step 4: Simplify right side
    43.66x = 10,123.82
  5. Step 5: Solve for x
    x = 10,123.82/43.66
  6. Step 6: Final answer
    x = 231.86

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.