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Finding the Third Proportional to 40,831 and 52,821

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Solution

The third proportional to 40,831 and 52,821 is: 68,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,831 : 52,821 = 52,821 : x
  2. Step 2: Convert to fraction form
    40,831/52,821 = 52,821/x
  3. Step 3: Cross multiply
    40,831x = 52,821 × 52,821
  4. Step 4: Simplify right side
    40,831x = 2,790,058,041
  5. Step 5: Solve for x
    x = 2,790,058,041/40,831
  6. Step 6: Final answer
    x = 68,331.86

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.