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Finding the Third Proportional to 241.75 and 631.38

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Solution

The third proportional to 241.75 and 631.38 is: 1,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.75 : 631.38 = 631.38 : x
  2. Step 2: Convert to fraction form
    241.75/631.38 = 631.38/x
  3. Step 3: Cross multiply
    241.75x = 631.38 × 631.38
  4. Step 4: Simplify right side
    241.75x = 398,634.39
  5. Step 5: Solve for x
    x = 398,634.39/241.75
  6. Step 6: Final answer
    x = 1,648.95

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.