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Finding the Third Proportional to 33,861 and 52,503

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Solution

The third proportional to 33,861 and 52,503 is: 81,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,861 : 52,503 = 52,503 : x
  2. Step 2: Convert to fraction form
    33,861/52,503 = 52,503/x
  3. Step 3: Cross multiply
    33,861x = 52,503 × 52,503
  4. Step 4: Simplify right side
    33,861x = 2,756,565,009
  5. Step 5: Solve for x
    x = 2,756,565,009/33,861
  6. Step 6: Final answer
    x = 81,408.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.