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Finding the Third Proportional to 675.75 and 1,452.38

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Solution

The third proportional to 675.75 and 1,452.38 is: 3,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.75 : 1,452.38 = 1,452.38 : x
  2. Step 2: Convert to fraction form
    675.75/1,452.38 = 1,452.38/x
  3. Step 3: Cross multiply
    675.75x = 1,452.38 × 1,452.38
  4. Step 4: Simplify right side
    675.75x = 2,109,393.14
  5. Step 5: Solve for x
    x = 2,109,393.14/675.75
  6. Step 6: Final answer
    x = 3,121.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.