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Finding the Third Proportional to 396,676 and 604,312

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Solution

The third proportional to 396,676 and 604,312 is: 920,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,676 : 604,312 = 604,312 : x
  2. Step 2: Convert to fraction form
    396,676/604,312 = 604,312/x
  3. Step 3: Cross multiply
    396,676x = 604,312 × 604,312
  4. Step 4: Simplify right side
    396,676x = 365,192,993,344
  5. Step 5: Solve for x
    x = 365,192,993,344/396,676
  6. Step 6: Final answer
    x = 920,632.94

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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.