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Finding the Third Proportional to 20,800 and 36,980

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Solution

The third proportional to 20,800 and 36,980 is: 65,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800 : 36,980 = 36,980 : x
  2. Step 2: Convert to fraction form
    20,800/36,980 = 36,980/x
  3. Step 3: Cross multiply
    20,800x = 36,980 × 36,980
  4. Step 4: Simplify right side
    20,800x = 1,367,520,400
  5. Step 5: Solve for x
    x = 1,367,520,400/20,800
  6. Step 6: Final answer
    x = 65,746.17

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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.