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Finding the Third Proportional to 3,215 and 3,551

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Solution

The third proportional to 3,215 and 3,551 is: 3,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215 : 3,551 = 3,551 : x
  2. Step 2: Convert to fraction form
    3,215/3,551 = 3,551/x
  3. Step 3: Cross multiply
    3,215x = 3,551 × 3,551
  4. Step 4: Simplify right side
    3,215x = 12,609,601
  5. Step 5: Solve for x
    x = 12,609,601/3,215
  6. Step 6: Final answer
    x = 3,922.12

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.