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Finding the Third Proportional to 39,282 and 80,868

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Solution

The third proportional to 39,282 and 80,868 is: 166,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,282 : 80,868 = 80,868 : x
  2. Step 2: Convert to fraction form
    39,282/80,868 = 80,868/x
  3. Step 3: Cross multiply
    39,282x = 80,868 × 80,868
  4. Step 4: Simplify right side
    39,282x = 6,539,633,424
  5. Step 5: Solve for x
    x = 6,539,633,424/39,282
  6. Step 6: Final answer
    x = 166,479.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.