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Finding the Third Proportional to 409.25 and 658.75

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Solution

The third proportional to 409.25 and 658.75 is: 1,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.25 : 658.75 = 658.75 : x
  2. Step 2: Convert to fraction form
    409.25/658.75 = 658.75/x
  3. Step 3: Cross multiply
    409.25x = 658.75 × 658.75
  4. Step 4: Simplify right side
    409.25x = 433,951.56
  5. Step 5: Solve for x
    x = 433,951.56/409.25
  6. Step 6: Final answer
    x = 1,060.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.