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Finding the Third Proportional to 304.94 and 408.40

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Solution

The third proportional to 304.94 and 408.40 is: 546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.94 : 408.40 = 408.40 : x
  2. Step 2: Convert to fraction form
    304.94/408.40 = 408.40/x
  3. Step 3: Cross multiply
    304.94x = 408.40 × 408.40
  4. Step 4: Simplify right side
    304.94x = 166,791.68
  5. Step 5: Solve for x
    x = 166,791.68/304.94
  6. Step 6: Final answer
    x = 546.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.