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Finding the Third Proportional to 33,759 and 73,755

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Solution

The third proportional to 33,759 and 73,755 is: 161,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,759 : 73,755 = 73,755 : x
  2. Step 2: Convert to fraction form
    33,759/73,755 = 73,755/x
  3. Step 3: Cross multiply
    33,759x = 73,755 × 73,755
  4. Step 4: Simplify right side
    33,759x = 5,439,800,025
  5. Step 5: Solve for x
    x = 5,439,800,025/33,759
  6. Step 6: Final answer
    x = 161,136.29

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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.