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Finding the Third Proportional to 241 and 386.75

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Solution

The third proportional to 241 and 386.75 is: 620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241 : 386.75 = 386.75 : x
  2. Step 2: Convert to fraction form
    241/386.75 = 386.75/x
  3. Step 3: Cross multiply
    241x = 386.75 × 386.75
  4. Step 4: Simplify right side
    241x = 149,575.56
  5. Step 5: Solve for x
    x = 149,575.56/241
  6. Step 6: Final answer
    x = 620.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.