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Finding the Third Proportional to 353.72 and 779.44

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Solution

The third proportional to 353.72 and 779.44 is: 1,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.72 : 779.44 = 779.44 : x
  2. Step 2: Convert to fraction form
    353.72/779.44 = 779.44/x
  3. Step 3: Cross multiply
    353.72x = 779.44 × 779.44
  4. Step 4: Simplify right side
    353.72x = 607,522.82
  5. Step 5: Solve for x
    x = 607,522.82/353.72
  6. Step 6: Final answer
    x = 1,717.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.