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Finding the Third Proportional to 3,409 and 7,431

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Solution

The third proportional to 3,409 and 7,431 is: 16,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409 : 7,431 = 7,431 : x
  2. Step 2: Convert to fraction form
    3,409/7,431 = 7,431/x
  3. Step 3: Cross multiply
    3,409x = 7,431 × 7,431
  4. Step 4: Simplify right side
    3,409x = 55,219,761
  5. Step 5: Solve for x
    x = 55,219,761/3,409
  6. Step 6: Final answer
    x = 16,198.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.