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Finding the Third Proportional to 396,144 and 538,245

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Solution

The third proportional to 396,144 and 538,245 is: 731,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,144 : 538,245 = 538,245 : x
  2. Step 2: Convert to fraction form
    396,144/538,245 = 538,245/x
  3. Step 3: Cross multiply
    396,144x = 538,245 × 538,245
  4. Step 4: Simplify right side
    396,144x = 289,707,680,025
  5. Step 5: Solve for x
    x = 289,707,680,025/396,144
  6. Step 6: Final answer
    x = 731,319.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.