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Finding the Third Proportional to 3,409 and 5,115

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Solution

The third proportional to 3,409 and 5,115 is: 7,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409 : 5,115 = 5,115 : x
  2. Step 2: Convert to fraction form
    3,409/5,115 = 5,115/x
  3. Step 3: Cross multiply
    3,409x = 5,115 × 5,115
  4. Step 4: Simplify right side
    3,409x = 26,163,225
  5. Step 5: Solve for x
    x = 26,163,225/3,409
  6. Step 6: Final answer
    x = 7,674.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.