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Finding the Third Proportional to 443.22 and 676.61

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Solution

The third proportional to 443.22 and 676.61 is: 1,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.22 : 676.61 = 676.61 : x
  2. Step 2: Convert to fraction form
    443.22/676.61 = 676.61/x
  3. Step 3: Cross multiply
    443.22x = 676.61 × 676.61
  4. Step 4: Simplify right side
    443.22x = 457,796.87
  5. Step 5: Solve for x
    x = 457,796.87/443.22
  6. Step 6: Final answer
    x = 1,032.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.