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Finding the Third Proportional to 2,611 and 3,903

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Solution

The third proportional to 2,611 and 3,903 is: 5,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611 : 3,903 = 3,903 : x
  2. Step 2: Convert to fraction form
    2,611/3,903 = 3,903/x
  3. Step 3: Cross multiply
    2,611x = 3,903 × 3,903
  4. Step 4: Simplify right side
    2,611x = 15,233,409
  5. Step 5: Solve for x
    x = 15,233,409/2,611
  6. Step 6: Final answer
    x = 5,834.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.