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Finding the Third Proportional to 8,398 and 18,308

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Solution

The third proportional to 8,398 and 18,308 is: 39,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398 : 18,308 = 18,308 : x
  2. Step 2: Convert to fraction form
    8,398/18,308 = 18,308/x
  3. Step 3: Cross multiply
    8,398x = 18,308 × 18,308
  4. Step 4: Simplify right side
    8,398x = 335,182,864
  5. Step 5: Solve for x
    x = 335,182,864/8,398
  6. Step 6: Final answer
    x = 39,912.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.