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Finding the Third Proportional to 31,869 and 50,631

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Solution

The third proportional to 31,869 and 50,631 is: 80,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,869 : 50,631 = 50,631 : x
  2. Step 2: Convert to fraction form
    31,869/50,631 = 50,631/x
  3. Step 3: Cross multiply
    31,869x = 50,631 × 50,631
  4. Step 4: Simplify right side
    31,869x = 2,563,498,161
  5. Step 5: Solve for x
    x = 2,563,498,161/31,869
  6. Step 6: Final answer
    x = 80,438.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.