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Finding the Third Proportional to 39,750 and 86,782

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Solution

The third proportional to 39,750 and 86,782 is: 189,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,750 : 86,782 = 86,782 : x
  2. Step 2: Convert to fraction form
    39,750/86,782 = 86,782/x
  3. Step 3: Cross multiply
    39,750x = 86,782 × 86,782
  4. Step 4: Simplify right side
    39,750x = 7,531,115,524
  5. Step 5: Solve for x
    x = 7,531,115,524/39,750
  6. Step 6: Final answer
    x = 189,462.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.