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Finding the Third Proportional to 54,845 and 82,672

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Solution

The third proportional to 54,845 and 82,672 is: 124,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,845 : 82,672 = 82,672 : x
  2. Step 2: Convert to fraction form
    54,845/82,672 = 82,672/x
  3. Step 3: Cross multiply
    54,845x = 82,672 × 82,672
  4. Step 4: Simplify right side
    54,845x = 6,834,659,584
  5. Step 5: Solve for x
    x = 6,834,659,584/54,845
  6. Step 6: Final answer
    x = 124,617.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.