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Finding the Third Proportional to 33,195.50 and 71,674

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Solution

The third proportional to 33,195.50 and 71,674 is: 154,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,195.50 : 71,674 = 71,674 : x
  2. Step 2: Convert to fraction form
    33,195.50/71,674 = 71,674/x
  3. Step 3: Cross multiply
    33,195.50x = 71,674 × 71,674
  4. Step 4: Simplify right side
    33,195.50x = 5,137,162,276
  5. Step 5: Solve for x
    x = 5,137,162,276/33,195.50
  6. Step 6: Final answer
    x = 154,754.78

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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.