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Finding the Third Proportional to 33,263 and 71,802

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Solution

The third proportional to 33,263 and 71,802 is: 154,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,263 : 71,802 = 71,802 : x
  2. Step 2: Convert to fraction form
    33,263/71,802 = 71,802/x
  3. Step 3: Cross multiply
    33,263x = 71,802 × 71,802
  4. Step 4: Simplify right side
    33,263x = 5,155,527,204
  5. Step 5: Solve for x
    x = 5,155,527,204/33,263
  6. Step 6: Final answer
    x = 154,992.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.