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Finding the Third Proportional to 133,392 and 203,474

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Solution

The third proportional to 133,392 and 203,474 is: 310,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,392 : 203,474 = 203,474 : x
  2. Step 2: Convert to fraction form
    133,392/203,474 = 203,474/x
  3. Step 3: Cross multiply
    133,392x = 203,474 × 203,474
  4. Step 4: Simplify right side
    133,392x = 41,401,668,676
  5. Step 5: Solve for x
    x = 41,401,668,676/133,392
  6. Step 6: Final answer
    x = 310,375.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.