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Finding the Third Proportional to 422.88 and 679.17

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Solution

The third proportional to 422.88 and 679.17 is: 1,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 679.17 = 679.17 : x
  2. Step 2: Convert to fraction form
    422.88/679.17 = 679.17/x
  3. Step 3: Cross multiply
    422.88x = 679.17 × 679.17
  4. Step 4: Simplify right side
    422.88x = 461,266.48
  5. Step 5: Solve for x
    x = 461,266.48/422.88
  6. Step 6: Final answer
    x = 1,090.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.