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Finding the Third Proportional to 396,663 and 604,296

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Solution

The third proportional to 396,663 and 604,296 is: 920,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,663 : 604,296 = 604,296 : x
  2. Step 2: Convert to fraction form
    396,663/604,296 = 604,296/x
  3. Step 3: Cross multiply
    396,663x = 604,296 × 604,296
  4. Step 4: Simplify right side
    396,663x = 365,173,655,616
  5. Step 5: Solve for x
    x = 365,173,655,616/396,663
  6. Step 6: Final answer
    x = 920,614.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.