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Finding the Third Proportional to 3,112 and 3,400

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Solution

The third proportional to 3,112 and 3,400 is: 3,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112 : 3,400 = 3,400 : x
  2. Step 2: Convert to fraction form
    3,112/3,400 = 3,400/x
  3. Step 3: Cross multiply
    3,112x = 3,400 × 3,400
  4. Step 4: Simplify right side
    3,112x = 11,560,000
  5. Step 5: Solve for x
    x = 11,560,000/3,112
  6. Step 6: Final answer
    x = 3,714.65

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.