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Finding the Third Proportional to 212.69 and 301.97

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Solution

The third proportional to 212.69 and 301.97 is: 428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.69 : 301.97 = 301.97 : x
  2. Step 2: Convert to fraction form
    212.69/301.97 = 301.97/x
  3. Step 3: Cross multiply
    212.69x = 301.97 × 301.97
  4. Step 4: Simplify right side
    212.69x = 91,185.13
  5. Step 5: Solve for x
    x = 91,185.13/212.69
  6. Step 6: Final answer
    x = 428.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.