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Finding the Third Proportional to 3,675 and 6,621

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Solution

The third proportional to 3,675 and 6,621 is: 11,928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675 : 6,621 = 6,621 : x
  2. Step 2: Convert to fraction form
    3,675/6,621 = 6,621/x
  3. Step 3: Cross multiply
    3,675x = 6,621 × 6,621
  4. Step 4: Simplify right side
    3,675x = 43,837,641
  5. Step 5: Solve for x
    x = 43,837,641/3,675
  6. Step 6: Final answer
    x = 11,928.61

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.