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Finding the Third Proportional to 4,020 and 8,256

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Solution

The third proportional to 4,020 and 8,256 is: 16,955.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020 : 8,256 = 8,256 : x
  2. Step 2: Convert to fraction form
    4,020/8,256 = 8,256/x
  3. Step 3: Cross multiply
    4,020x = 8,256 × 8,256
  4. Step 4: Simplify right side
    4,020x = 68,161,536
  5. Step 5: Solve for x
    x = 68,161,536/4,020
  6. Step 6: Final answer
    x = 16,955.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.