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Finding the Third Proportional to 39,429 and 80,698

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Solution

The third proportional to 39,429 and 80,698 is: 165,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,429 : 80,698 = 80,698 : x
  2. Step 2: Convert to fraction form
    39,429/80,698 = 80,698/x
  3. Step 3: Cross multiply
    39,429x = 80,698 × 80,698
  4. Step 4: Simplify right side
    39,429x = 6,512,167,204
  5. Step 5: Solve for x
    x = 6,512,167,204/39,429
  6. Step 6: Final answer
    x = 165,161.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.