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Finding the Third Proportional to 83,856 and 179,720

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Solution

The third proportional to 83,856 and 179,720 is: 385,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,856 : 179,720 = 179,720 : x
  2. Step 2: Convert to fraction form
    83,856/179,720 = 179,720/x
  3. Step 3: Cross multiply
    83,856x = 179,720 × 179,720
  4. Step 4: Simplify right side
    83,856x = 32,299,278,400
  5. Step 5: Solve for x
    x = 32,299,278,400/83,856
  6. Step 6: Final answer
    x = 385,175.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.