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Finding the Third Proportional to 8,398 and 18,026

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Solution

The third proportional to 8,398 and 18,026 is: 38,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398 : 18,026 = 18,026 : x
  2. Step 2: Convert to fraction form
    8,398/18,026 = 18,026/x
  3. Step 3: Cross multiply
    8,398x = 18,026 × 18,026
  4. Step 4: Simplify right side
    8,398x = 324,936,676
  5. Step 5: Solve for x
    x = 324,936,676/8,398
  6. Step 6: Final answer
    x = 38,692.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.