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Finding the Third Proportional to 33,112 and 72,040

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Solution

The third proportional to 33,112 and 72,040 is: 156,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,112 : 72,040 = 72,040 : x
  2. Step 2: Convert to fraction form
    33,112/72,040 = 72,040/x
  3. Step 3: Cross multiply
    33,112x = 72,040 × 72,040
  4. Step 4: Simplify right side
    33,112x = 5,189,761,600
  5. Step 5: Solve for x
    x = 5,189,761,600/33,112
  6. Step 6: Final answer
    x = 156,733.56

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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.