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Finding the Third Proportional to 6,816 and 11,250

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Solution

The third proportional to 6,816 and 11,250 is: 18,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 11,250 = 11,250 : x
  2. Step 2: Convert to fraction form
    6,816/11,250 = 11,250/x
  3. Step 3: Cross multiply
    6,816x = 11,250 × 11,250
  4. Step 4: Simplify right side
    6,816x = 126,562,500
  5. Step 5: Solve for x
    x = 126,562,500/6,816
  6. Step 6: Final answer
    x = 18,568.44

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.