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Finding the Third Proportional to 20,800 and 36,982

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Solution

The third proportional to 20,800 and 36,982 is: 65,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800 : 36,982 = 36,982 : x
  2. Step 2: Convert to fraction form
    20,800/36,982 = 36,982/x
  3. Step 3: Cross multiply
    20,800x = 36,982 × 36,982
  4. Step 4: Simplify right side
    20,800x = 1,367,668,324
  5. Step 5: Solve for x
    x = 1,367,668,324/20,800
  6. Step 6: Final answer
    x = 65,753.28

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.