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Finding the Third Proportional to 2,098 and 3,247

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Solution

The third proportional to 2,098 and 3,247 is: 5,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098 : 3,247 = 3,247 : x
  2. Step 2: Convert to fraction form
    2,098/3,247 = 3,247/x
  3. Step 3: Cross multiply
    2,098x = 3,247 × 3,247
  4. Step 4: Simplify right side
    2,098x = 10,543,009
  5. Step 5: Solve for x
    x = 10,543,009/2,098
  6. Step 6: Final answer
    x = 5,025.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.