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Finding the Third Proportional to 396,648 and 604,268

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Solution

The third proportional to 396,648 and 604,268 is: 920,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,648 : 604,268 = 604,268 : x
  2. Step 2: Convert to fraction form
    396,648/604,268 = 604,268/x
  3. Step 3: Cross multiply
    396,648x = 604,268 × 604,268
  4. Step 4: Simplify right side
    396,648x = 365,139,815,824
  5. Step 5: Solve for x
    x = 365,139,815,824/396,648
  6. Step 6: Final answer
    x = 920,563.86

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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.