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Finding the Third Proportional to 39,439 and 85,568

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Solution

The third proportional to 39,439 and 85,568 is: 185,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,439 : 85,568 = 85,568 : x
  2. Step 2: Convert to fraction form
    39,439/85,568 = 85,568/x
  3. Step 3: Cross multiply
    39,439x = 85,568 × 85,568
  4. Step 4: Simplify right side
    39,439x = 7,321,882,624
  5. Step 5: Solve for x
    x = 7,321,882,624/39,439
  6. Step 6: Final answer
    x = 185,650.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.