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Finding the Third Proportional to 33,800 and 81,324

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Solution

The third proportional to 33,800 and 81,324 is: 195,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,800 : 81,324 = 81,324 : x
  2. Step 2: Convert to fraction form
    33,800/81,324 = 81,324/x
  3. Step 3: Cross multiply
    33,800x = 81,324 × 81,324
  4. Step 4: Simplify right side
    33,800x = 6,613,592,976
  5. Step 5: Solve for x
    x = 6,613,592,976/33,800
  6. Step 6: Final answer
    x = 195,668.43

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.