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Finding the Third Proportional to 38,211 and 82,821

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Solution

The third proportional to 38,211 and 82,821 is: 179,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,211 : 82,821 = 82,821 : x
  2. Step 2: Convert to fraction form
    38,211/82,821 = 82,821/x
  3. Step 3: Cross multiply
    38,211x = 82,821 × 82,821
  4. Step 4: Simplify right side
    38,211x = 6,859,318,041
  5. Step 5: Solve for x
    x = 6,859,318,041/38,211
  6. Step 6: Final answer
    x = 179,511.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.