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Finding the Third Proportional to 3,200 and 6,781

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Solution

The third proportional to 3,200 and 6,781 is: 14,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200 : 6,781 = 6,781 : x
  2. Step 2: Convert to fraction form
    3,200/6,781 = 6,781/x
  3. Step 3: Cross multiply
    3,200x = 6,781 × 6,781
  4. Step 4: Simplify right side
    3,200x = 45,981,961
  5. Step 5: Solve for x
    x = 45,981,961/3,200
  6. Step 6: Final answer
    x = 14,369.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.