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Finding the Third Proportional to 33,987 and 52,494

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Solution

The third proportional to 33,987 and 52,494 is: 81,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987 : 52,494 = 52,494 : x
  2. Step 2: Convert to fraction form
    33,987/52,494 = 52,494/x
  3. Step 3: Cross multiply
    33,987x = 52,494 × 52,494
  4. Step 4: Simplify right side
    33,987x = 2,755,620,036
  5. Step 5: Solve for x
    x = 2,755,620,036/33,987
  6. Step 6: Final answer
    x = 81,078.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.