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Finding the Third Proportional to 33,190 and 69,782

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Solution

The third proportional to 33,190 and 69,782 is: 146,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,190 : 69,782 = 69,782 : x
  2. Step 2: Convert to fraction form
    33,190/69,782 = 69,782/x
  3. Step 3: Cross multiply
    33,190x = 69,782 × 69,782
  4. Step 4: Simplify right side
    33,190x = 4,869,527,524
  5. Step 5: Solve for x
    x = 4,869,527,524/33,190
  6. Step 6: Final answer
    x = 146,716.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.