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Finding the Third Proportional to 57,372 and 80,649

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Solution

The third proportional to 57,372 and 80,649 is: 113,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,372 : 80,649 = 80,649 : x
  2. Step 2: Convert to fraction form
    57,372/80,649 = 80,649/x
  3. Step 3: Cross multiply
    57,372x = 80,649 × 80,649
  4. Step 4: Simplify right side
    57,372x = 6,504,261,201
  5. Step 5: Solve for x
    x = 6,504,261,201/57,372
  6. Step 6: Final answer
    x = 113,369.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.