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Finding the Third Proportional to 396,660 and 604,288

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Solution

The third proportional to 396,660 and 604,288 is: 920,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,660 : 604,288 = 604,288 : x
  2. Step 2: Convert to fraction form
    396,660/604,288 = 604,288/x
  3. Step 3: Cross multiply
    396,660x = 604,288 × 604,288
  4. Step 4: Simplify right side
    396,660x = 365,163,986,944
  5. Step 5: Solve for x
    x = 365,163,986,944/396,660
  6. Step 6: Final answer
    x = 920,596.95

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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.