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Finding the Third Proportional to 306.94 and 667.31

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Solution

The third proportional to 306.94 and 667.31 is: 1,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.94 : 667.31 = 667.31 : x
  2. Step 2: Convert to fraction form
    306.94/667.31 = 667.31/x
  3. Step 3: Cross multiply
    306.94x = 667.31 × 667.31
  4. Step 4: Simplify right side
    306.94x = 445,305.97
  5. Step 5: Solve for x
    x = 445,305.97/306.94
  6. Step 6: Final answer
    x = 1,450.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.