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Finding the Third Proportional to 4,189 and 8,809

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Solution

The third proportional to 4,189 and 8,809 is: 18,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 8,809 = 8,809 : x
  2. Step 2: Convert to fraction form
    4,189/8,809 = 8,809/x
  3. Step 3: Cross multiply
    4,189x = 8,809 × 8,809
  4. Step 4: Simplify right side
    4,189x = 77,598,481
  5. Step 5: Solve for x
    x = 77,598,481/4,189
  6. Step 6: Final answer
    x = 18,524.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.