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Finding the Third Proportional to 679.31 and 1,016.44

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Solution

The third proportional to 679.31 and 1,016.44 is: 1,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.31 : 1,016.44 = 1,016.44 : x
  2. Step 2: Convert to fraction form
    679.31/1,016.44 = 1,016.44/x
  3. Step 3: Cross multiply
    679.31x = 1,016.44 × 1,016.44
  4. Step 4: Simplify right side
    679.31x = 1,033,145.19
  5. Step 5: Solve for x
    x = 1,033,145.19/679.31
  6. Step 6: Final answer
    x = 1,520.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.