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Finding the Third Proportional to 241.41 and 344.95

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Solution

The third proportional to 241.41 and 344.95 is: 492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.41 : 344.95 = 344.95 : x
  2. Step 2: Convert to fraction form
    241.41/344.95 = 344.95/x
  3. Step 3: Cross multiply
    241.41x = 344.95 × 344.95
  4. Step 4: Simplify right side
    241.41x = 118,992.66
  5. Step 5: Solve for x
    x = 118,992.66/241.41
  6. Step 6: Final answer
    x = 492.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.