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Finding the Third Proportional to 52,867 and 80,975

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Solution

The third proportional to 52,867 and 80,975 is: 124,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,867 : 80,975 = 80,975 : x
  2. Step 2: Convert to fraction form
    52,867/80,975 = 80,975/x
  3. Step 3: Cross multiply
    52,867x = 80,975 × 80,975
  4. Step 4: Simplify right side
    52,867x = 6,556,950,625
  5. Step 5: Solve for x
    x = 6,556,950,625/52,867
  6. Step 6: Final answer
    x = 124,027.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.