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Finding the Third Proportional to 4,189 and 8,270

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Solution

The third proportional to 4,189 and 8,270 is: 16,326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 8,270 = 8,270 : x
  2. Step 2: Convert to fraction form
    4,189/8,270 = 8,270/x
  3. Step 3: Cross multiply
    4,189x = 8,270 × 8,270
  4. Step 4: Simplify right side
    4,189x = 68,392,900
  5. Step 5: Solve for x
    x = 68,392,900/4,189
  6. Step 6: Final answer
    x = 16,326.78

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.