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Finding the Third Proportional to 397.88 and 428.44

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Solution

The third proportional to 397.88 and 428.44 is: 461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.88 : 428.44 = 428.44 : x
  2. Step 2: Convert to fraction form
    397.88/428.44 = 428.44/x
  3. Step 3: Cross multiply
    397.88x = 428.44 × 428.44
  4. Step 4: Simplify right side
    397.88x = 183,558.69
  5. Step 5: Solve for x
    x = 183,558.69/397.88
  6. Step 6: Final answer
    x = 461.35

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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.