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Finding the Third Proportional to 33,802 and 78,249

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Solution

The third proportional to 33,802 and 78,249 is: 181,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,802 : 78,249 = 78,249 : x
  2. Step 2: Convert to fraction form
    33,802/78,249 = 78,249/x
  3. Step 3: Cross multiply
    33,802x = 78,249 × 78,249
  4. Step 4: Simplify right side
    33,802x = 6,122,906,001
  5. Step 5: Solve for x
    x = 6,122,906,001/33,802
  6. Step 6: Final answer
    x = 181,140.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.