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Finding the Third Proportional to 8,198 and 9,089

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Solution

The third proportional to 8,198 and 9,089 is: 10,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198 : 9,089 = 9,089 : x
  2. Step 2: Convert to fraction form
    8,198/9,089 = 9,089/x
  3. Step 3: Cross multiply
    8,198x = 9,089 × 9,089
  4. Step 4: Simplify right side
    8,198x = 82,609,921
  5. Step 5: Solve for x
    x = 82,609,921/8,198
  6. Step 6: Final answer
    x = 10,076.84

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.