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Finding the Third Proportional to 6,720 and 7,256

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Solution

The third proportional to 6,720 and 7,256 is: 7,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720 : 7,256 = 7,256 : x
  2. Step 2: Convert to fraction form
    6,720/7,256 = 7,256/x
  3. Step 3: Cross multiply
    6,720x = 7,256 × 7,256
  4. Step 4: Simplify right side
    6,720x = 52,649,536
  5. Step 5: Solve for x
    x = 52,649,536/6,720
  6. Step 6: Final answer
    x = 7,834.75

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.