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Finding the Third Proportional to 54,338 and 81,867

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Solution

The third proportional to 54,338 and 81,867 is: 123,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,338 : 81,867 = 81,867 : x
  2. Step 2: Convert to fraction form
    54,338/81,867 = 81,867/x
  3. Step 3: Cross multiply
    54,338x = 81,867 × 81,867
  4. Step 4: Simplify right side
    54,338x = 6,702,205,689
  5. Step 5: Solve for x
    x = 6,702,205,689/54,338
  6. Step 6: Final answer
    x = 123,342.89

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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.