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Finding the Third Proportional to 33,811 and 48,059

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Solution

The third proportional to 33,811 and 48,059 is: 68,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,811 : 48,059 = 48,059 : x
  2. Step 2: Convert to fraction form
    33,811/48,059 = 48,059/x
  3. Step 3: Cross multiply
    33,811x = 48,059 × 48,059
  4. Step 4: Simplify right side
    33,811x = 2,309,667,481
  5. Step 5: Solve for x
    x = 2,309,667,481/33,811
  6. Step 6: Final answer
    x = 68,311.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.