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Finding the Third Proportional to 51,782 and 75,161

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Solution

The third proportional to 51,782 and 75,161 is: 109,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,782 : 75,161 = 75,161 : x
  2. Step 2: Convert to fraction form
    51,782/75,161 = 75,161/x
  3. Step 3: Cross multiply
    51,782x = 75,161 × 75,161
  4. Step 4: Simplify right side
    51,782x = 5,649,175,921
  5. Step 5: Solve for x
    x = 5,649,175,921/51,782
  6. Step 6: Final answer
    x = 109,095.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.