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Finding the Third Proportional to 3,551 and 8,243

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Solution

The third proportional to 3,551 and 8,243 is: 19,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551 : 8,243 = 8,243 : x
  2. Step 2: Convert to fraction form
    3,551/8,243 = 8,243/x
  3. Step 3: Cross multiply
    3,551x = 8,243 × 8,243
  4. Step 4: Simplify right side
    3,551x = 67,947,049
  5. Step 5: Solve for x
    x = 67,947,049/3,551
  6. Step 6: Final answer
    x = 19,134.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.