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Finding the Third Proportional to 397.25 and 428.75

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Solution

The third proportional to 397.25 and 428.75 is: 462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.25 : 428.75 = 428.75 : x
  2. Step 2: Convert to fraction form
    397.25/428.75 = 428.75/x
  3. Step 3: Cross multiply
    397.25x = 428.75 × 428.75
  4. Step 4: Simplify right side
    397.25x = 183,826.56
  5. Step 5: Solve for x
    x = 183,826.56/397.25
  6. Step 6: Final answer
    x = 462.75

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.