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Finding the Third Proportional to 396,640 and 604,257

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Solution

The third proportional to 396,640 and 604,257 is: 920,548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,640 : 604,257 = 604,257 : x
  2. Step 2: Convert to fraction form
    396,640/604,257 = 604,257/x
  3. Step 3: Cross multiply
    396,640x = 604,257 × 604,257
  4. Step 4: Simplify right side
    396,640x = 365,126,522,049
  5. Step 5: Solve for x
    x = 365,126,522,049/396,640
  6. Step 6: Final answer
    x = 920,548.92

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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.