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Finding the Third Proportional to 33,756 and 73,867

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Solution

The third proportional to 33,756 and 73,867 is: 161,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,756 : 73,867 = 73,867 : x
  2. Step 2: Convert to fraction form
    33,756/73,867 = 73,867/x
  3. Step 3: Cross multiply
    33,756x = 73,867 × 73,867
  4. Step 4: Simplify right side
    33,756x = 5,456,333,689
  5. Step 5: Solve for x
    x = 5,456,333,689/33,756
  6. Step 6: Final answer
    x = 161,640.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.