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Finding the Third Proportional to 31,921 and 48,325

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Solution

The third proportional to 31,921 and 48,325 is: 73,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921 : 48,325 = 48,325 : x
  2. Step 2: Convert to fraction form
    31,921/48,325 = 48,325/x
  3. Step 3: Cross multiply
    31,921x = 48,325 × 48,325
  4. Step 4: Simplify right side
    31,921x = 2,335,305,625
  5. Step 5: Solve for x
    x = 2,335,305,625/31,921
  6. Step 6: Final answer
    x = 73,158.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.