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Finding the Third Proportional to 353.75 and 847.25

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Solution

The third proportional to 353.75 and 847.25 is: 2,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.75 : 847.25 = 847.25 : x
  2. Step 2: Convert to fraction form
    353.75/847.25 = 847.25/x
  3. Step 3: Cross multiply
    353.75x = 847.25 × 847.25
  4. Step 4: Simplify right side
    353.75x = 717,832.56
  5. Step 5: Solve for x
    x = 717,832.56/353.75
  6. Step 6: Final answer
    x = 2,029.21

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.