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Finding the Third Proportional to 43,481 and 66,135

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Solution

The third proportional to 43,481 and 66,135 is: 100,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,481 : 66,135 = 66,135 : x
  2. Step 2: Convert to fraction form
    43,481/66,135 = 66,135/x
  3. Step 3: Cross multiply
    43,481x = 66,135 × 66,135
  4. Step 4: Simplify right side
    43,481x = 4,373,838,225
  5. Step 5: Solve for x
    x = 4,373,838,225/43,481
  6. Step 6: Final answer
    x = 100,591.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.