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Finding the Third Proportional to 396,716 and 604,366

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Solution

The third proportional to 396,716 and 604,366 is: 920,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,716 : 604,366 = 604,366 : x
  2. Step 2: Convert to fraction form
    396,716/604,366 = 604,366/x
  3. Step 3: Cross multiply
    396,716x = 604,366 × 604,366
  4. Step 4: Simplify right side
    396,716x = 365,258,261,956
  5. Step 5: Solve for x
    x = 365,258,261,956/396,716
  6. Step 6: Final answer
    x = 920,704.64

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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.