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Finding the Third Proportional to 397.25 and 604.42

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Solution

The third proportional to 397.25 and 604.42 is: 919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.25 : 604.42 = 604.42 : x
  2. Step 2: Convert to fraction form
    397.25/604.42 = 604.42/x
  3. Step 3: Cross multiply
    397.25x = 604.42 × 604.42
  4. Step 4: Simplify right side
    397.25x = 365,317.54
  5. Step 5: Solve for x
    x = 365,317.54/397.25
  6. Step 6: Final answer
    x = 919.62

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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.