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Finding the Third Proportional to 39,694 and 56,422

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Solution

The third proportional to 39,694 and 56,422 is: 80,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,694 : 56,422 = 56,422 : x
  2. Step 2: Convert to fraction form
    39,694/56,422 = 56,422/x
  3. Step 3: Cross multiply
    39,694x = 56,422 × 56,422
  4. Step 4: Simplify right side
    39,694x = 3,183,442,084
  5. Step 5: Solve for x
    x = 3,183,442,084/39,694
  6. Step 6: Final answer
    x = 80,199.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.