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Finding the Third Proportional to 307.97 and 667.20

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Solution

The third proportional to 307.97 and 667.20 is: 1,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.97 : 667.20 = 667.20 : x
  2. Step 2: Convert to fraction form
    307.97/667.20 = 667.20/x
  3. Step 3: Cross multiply
    307.97x = 667.20 × 667.20
  4. Step 4: Simplify right side
    307.97x = 445,149.59
  5. Step 5: Solve for x
    x = 445,149.59/307.97
  6. Step 6: Final answer
    x = 1,445.44

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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.