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Finding the Third Proportional to 51,761 and 80,149

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Solution

The third proportional to 51,761 and 80,149 is: 124,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,761 : 80,149 = 80,149 : x
  2. Step 2: Convert to fraction form
    51,761/80,149 = 80,149/x
  3. Step 3: Cross multiply
    51,761x = 80,149 × 80,149
  4. Step 4: Simplify right side
    51,761x = 6,423,862,201
  5. Step 5: Solve for x
    x = 6,423,862,201/51,761
  6. Step 6: Final answer
    x = 124,106.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.