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Finding the Third Proportional to 3,383 and 3,743

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Solution

The third proportional to 3,383 and 3,743 is: 4,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383 : 3,743 = 3,743 : x
  2. Step 2: Convert to fraction form
    3,383/3,743 = 3,743/x
  3. Step 3: Cross multiply
    3,383x = 3,743 × 3,743
  4. Step 4: Simplify right side
    3,383x = 14,010,049
  5. Step 5: Solve for x
    x = 14,010,049/3,383
  6. Step 6: Final answer
    x = 4,141.31

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.