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Finding the Third Proportional to 396,650 and 604,271

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Solution

The third proportional to 396,650 and 604,271 is: 920,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,650 : 604,271 = 604,271 : x
  2. Step 2: Convert to fraction form
    396,650/604,271 = 604,271/x
  3. Step 3: Cross multiply
    396,650x = 604,271 × 604,271
  4. Step 4: Simplify right side
    396,650x = 365,143,441,441
  5. Step 5: Solve for x
    x = 365,143,441,441/396,650
  6. Step 6: Final answer
    x = 920,568.36

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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.