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Finding the Third Proportional to 39,702 and 87,182

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Solution

The third proportional to 39,702 and 87,182 is: 191,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,702 : 87,182 = 87,182 : x
  2. Step 2: Convert to fraction form
    39,702/87,182 = 87,182/x
  3. Step 3: Cross multiply
    39,702x = 87,182 × 87,182
  4. Step 4: Simplify right side
    39,702x = 7,600,701,124
  5. Step 5: Solve for x
    x = 7,600,701,124/39,702
  6. Step 6: Final answer
    x = 191,443.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.