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Finding the Third Proportional to 742.75 and 1,519.25

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Solution

The third proportional to 742.75 and 1,519.25 is: 3,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.75 : 1,519.25 = 1,519.25 : x
  2. Step 2: Convert to fraction form
    742.75/1,519.25 = 1,519.25/x
  3. Step 3: Cross multiply
    742.75x = 1,519.25 × 1,519.25
  4. Step 4: Simplify right side
    742.75x = 2,308,120.56
  5. Step 5: Solve for x
    x = 2,308,120.56/742.75
  6. Step 6: Final answer
    x = 3,107.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.