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Finding the Third Proportional to 3,291 and 3,903

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Solution

The third proportional to 3,291 and 3,903 is: 4,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291 : 3,903 = 3,903 : x
  2. Step 2: Convert to fraction form
    3,291/3,903 = 3,903/x
  3. Step 3: Cross multiply
    3,291x = 3,903 × 3,903
  4. Step 4: Simplify right side
    3,291x = 15,233,409
  5. Step 5: Solve for x
    x = 15,233,409/3,291
  6. Step 6: Final answer
    x = 4,628.81

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.