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Finding the Third Proportional to 33,684 and 73,266

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Solution

The third proportional to 33,684 and 73,266 is: 159,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684 : 73,266 = 73,266 : x
  2. Step 2: Convert to fraction form
    33,684/73,266 = 73,266/x
  3. Step 3: Cross multiply
    33,684x = 73,266 × 73,266
  4. Step 4: Simplify right side
    33,684x = 5,367,906,756
  5. Step 5: Solve for x
    x = 5,367,906,756/33,684
  6. Step 6: Final answer
    x = 159,360.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.