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Finding the Third Proportional to 2,009 and 3,476

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Solution

The third proportional to 2,009 and 3,476 is: 6,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009 : 3,476 = 3,476 : x
  2. Step 2: Convert to fraction form
    2,009/3,476 = 3,476/x
  3. Step 3: Cross multiply
    2,009x = 3,476 × 3,476
  4. Step 4: Simplify right side
    2,009x = 12,082,576
  5. Step 5: Solve for x
    x = 12,082,576/2,009
  6. Step 6: Final answer
    x = 6,014.22

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.