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Finding the Third Proportional to 396,611 and 773,296

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Solution

The third proportional to 396,611 and 773,296 is: 1,507,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,611 : 773,296 = 773,296 : x
  2. Step 2: Convert to fraction form
    396,611/773,296 = 773,296/x
  3. Step 3: Cross multiply
    396,611x = 773,296 × 773,296
  4. Step 4: Simplify right side
    396,611x = 597,986,703,616
  5. Step 5: Solve for x
    x = 597,986,703,616/396,611
  6. Step 6: Final answer
    x = 1,507,741.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.