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Finding the Third Proportional to 3,168 and 8,256

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Solution

The third proportional to 3,168 and 8,256 is: 21,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168 : 8,256 = 8,256 : x
  2. Step 2: Convert to fraction form
    3,168/8,256 = 8,256/x
  3. Step 3: Cross multiply
    3,168x = 8,256 × 8,256
  4. Step 4: Simplify right side
    3,168x = 68,161,536
  5. Step 5: Solve for x
    x = 68,161,536/3,168
  6. Step 6: Final answer
    x = 21,515.64

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.