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Finding the Third Proportional to 447.97 and 678.69

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Solution

The third proportional to 447.97 and 678.69 is: 1,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.97 : 678.69 = 678.69 : x
  2. Step 2: Convert to fraction form
    447.97/678.69 = 678.69/x
  3. Step 3: Cross multiply
    447.97x = 678.69 × 678.69
  4. Step 4: Simplify right side
    447.97x = 460,616.72
  5. Step 5: Solve for x
    x = 460,616.72/447.97
  6. Step 6: Final answer
    x = 1,028.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.