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Finding the Third Proportional to 396,940.50 and 519,139.13

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Solution

The third proportional to 396,940.50 and 519,139.13 is: 678,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,940.50 : 519,139.13 = 519,139.13 : x
  2. Step 2: Convert to fraction form
    396,940.50/519,139.13 = 519,139.13/x
  3. Step 3: Cross multiply
    396,940.50x = 519,139.13 × 519,139.13
  4. Step 4: Simplify right side
    396,940.50x = 269,505,431,105.77
  5. Step 5: Solve for x
    x = 269,505,431,105.77/396,940.50
  6. Step 6: Final answer
    x = 678,956.75

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.