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Finding the Third Proportional to 198,408 and 299,401

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Solution

The third proportional to 198,408 and 299,401 is: 451,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,408 : 299,401 = 299,401 : x
  2. Step 2: Convert to fraction form
    198,408/299,401 = 299,401/x
  3. Step 3: Cross multiply
    198,408x = 299,401 × 299,401
  4. Step 4: Simplify right side
    198,408x = 89,640,958,801
  5. Step 5: Solve for x
    x = 89,640,958,801/198,408
  6. Step 6: Final answer
    x = 451,801.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.