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Finding the Third Proportional to 8,211 and 9,975

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Solution

The third proportional to 8,211 and 9,975 is: 12,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211 : 9,975 = 9,975 : x
  2. Step 2: Convert to fraction form
    8,211/9,975 = 9,975/x
  3. Step 3: Cross multiply
    8,211x = 9,975 × 9,975
  4. Step 4: Simplify right side
    8,211x = 99,500,625
  5. Step 5: Solve for x
    x = 99,500,625/8,211
  6. Step 6: Final answer
    x = 12,117.97

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.