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Finding the Third Proportional to 51,631 and 80,893

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Solution

The third proportional to 51,631 and 80,893 is: 126,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,631 : 80,893 = 80,893 : x
  2. Step 2: Convert to fraction form
    51,631/80,893 = 80,893/x
  3. Step 3: Cross multiply
    51,631x = 80,893 × 80,893
  4. Step 4: Simplify right side
    51,631x = 6,543,677,449
  5. Step 5: Solve for x
    x = 6,543,677,449/51,631
  6. Step 6: Final answer
    x = 126,739.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.