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Finding the Third Proportional to 33,743 and 73,842

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Solution

The third proportional to 33,743 and 73,842 is: 161,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,743 : 73,842 = 73,842 : x
  2. Step 2: Convert to fraction form
    33,743/73,842 = 73,842/x
  3. Step 3: Cross multiply
    33,743x = 73,842 × 73,842
  4. Step 4: Simplify right side
    33,743x = 5,452,640,964
  5. Step 5: Solve for x
    x = 5,452,640,964/33,743
  6. Step 6: Final answer
    x = 161,593.25

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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.