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Finding the Third Proportional to 3,380 and 7,266

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Solution

The third proportional to 3,380 and 7,266 is: 15,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380 : 7,266 = 7,266 : x
  2. Step 2: Convert to fraction form
    3,380/7,266 = 7,266/x
  3. Step 3: Cross multiply
    3,380x = 7,266 × 7,266
  4. Step 4: Simplify right side
    3,380x = 52,794,756
  5. Step 5: Solve for x
    x = 52,794,756/3,380
  6. Step 6: Final answer
    x = 15,619.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.