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Finding the Third Proportional to 3,171 and 3,819

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Solution

The third proportional to 3,171 and 3,819 is: 4,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171 : 3,819 = 3,819 : x
  2. Step 2: Convert to fraction form
    3,171/3,819 = 3,819/x
  3. Step 3: Cross multiply
    3,171x = 3,819 × 3,819
  4. Step 4: Simplify right side
    3,171x = 14,584,761
  5. Step 5: Solve for x
    x = 14,584,761/3,171
  6. Step 6: Final answer
    x = 4,599.42

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.