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Finding the Third Proportional to 403.25 and 604.38

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Solution

The third proportional to 403.25 and 604.38 is: 905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.25 : 604.38 = 604.38 : x
  2. Step 2: Convert to fraction form
    403.25/604.38 = 604.38/x
  3. Step 3: Cross multiply
    403.25x = 604.38 × 604.38
  4. Step 4: Simplify right side
    403.25x = 365,269.14
  5. Step 5: Solve for x
    x = 365,269.14/403.25
  6. Step 6: Final answer
    x = 905.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.