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Finding the Third Proportional to 307.94 and 668.22

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Solution

The third proportional to 307.94 and 668.22 is: 1,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.94 : 668.22 = 668.22 : x
  2. Step 2: Convert to fraction form
    307.94/668.22 = 668.22/x
  3. Step 3: Cross multiply
    307.94x = 668.22 × 668.22
  4. Step 4: Simplify right side
    307.94x = 446,516.30
  5. Step 5: Solve for x
    x = 446,516.30/307.94
  6. Step 6: Final answer
    x = 1,450.02

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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.