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Finding the Third Proportional to 3,822 and 4,182

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Solution

The third proportional to 3,822 and 4,182 is: 4,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822 : 4,182 = 4,182 : x
  2. Step 2: Convert to fraction form
    3,822/4,182 = 4,182/x
  3. Step 3: Cross multiply
    3,822x = 4,182 × 4,182
  4. Step 4: Simplify right side
    3,822x = 17,489,124
  5. Step 5: Solve for x
    x = 17,489,124/3,822
  6. Step 6: Final answer
    x = 4,575.91

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.