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Finding the Third Proportional to 938.14 and 1,452.78

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Solution

The third proportional to 938.14 and 1,452.78 is: 2,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.14 : 1,452.78 = 1,452.78 : x
  2. Step 2: Convert to fraction form
    938.14/1,452.78 = 1,452.78/x
  3. Step 3: Cross multiply
    938.14x = 1,452.78 × 1,452.78
  4. Step 4: Simplify right side
    938.14x = 2,110,567.69
  5. Step 5: Solve for x
    x = 2,110,567.69/938.14
  6. Step 6: Final answer
    x = 2,249.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.