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Finding the Third Proportional to 33,036 and 81,474

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Solution

The third proportional to 33,036 and 81,474 is: 200,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,036 : 81,474 = 81,474 : x
  2. Step 2: Convert to fraction form
    33,036/81,474 = 81,474/x
  3. Step 3: Cross multiply
    33,036x = 81,474 × 81,474
  4. Step 4: Simplify right side
    33,036x = 6,638,012,676
  5. Step 5: Solve for x
    x = 6,638,012,676/33,036
  6. Step 6: Final answer
    x = 200,932.70

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.