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Finding the Third Proportional to 2,282 and 3,743

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Solution

The third proportional to 2,282 and 3,743 is: 6,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282 : 3,743 = 3,743 : x
  2. Step 2: Convert to fraction form
    2,282/3,743 = 3,743/x
  3. Step 3: Cross multiply
    2,282x = 3,743 × 3,743
  4. Step 4: Simplify right side
    2,282x = 14,010,049
  5. Step 5: Solve for x
    x = 14,010,049/2,282
  6. Step 6: Final answer
    x = 6,139.37

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.