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Finding the Third Proportional to 33,842 and 49,782

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Solution

The third proportional to 33,842 and 49,782 is: 73,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842 : 49,782 = 49,782 : x
  2. Step 2: Convert to fraction form
    33,842/49,782 = 49,782/x
  3. Step 3: Cross multiply
    33,842x = 49,782 × 49,782
  4. Step 4: Simplify right side
    33,842x = 2,478,247,524
  5. Step 5: Solve for x
    x = 2,478,247,524/33,842
  6. Step 6: Final answer
    x = 73,229.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.