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Finding the Third Proportional to 33,561 and 73,341

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Solution

The third proportional to 33,561 and 73,341 is: 160,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,561 : 73,341 = 73,341 : x
  2. Step 2: Convert to fraction form
    33,561/73,341 = 73,341/x
  3. Step 3: Cross multiply
    33,561x = 73,341 × 73,341
  4. Step 4: Simplify right side
    33,561x = 5,378,902,281
  5. Step 5: Solve for x
    x = 5,378,902,281/33,561
  6. Step 6: Final answer
    x = 160,272.41

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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.