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Finding the Third Proportional to 257.91 and 541.41

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Solution

The third proportional to 257.91 and 541.41 is: 1,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.91 : 541.41 = 541.41 : x
  2. Step 2: Convert to fraction form
    257.91/541.41 = 541.41/x
  3. Step 3: Cross multiply
    257.91x = 541.41 × 541.41
  4. Step 4: Simplify right side
    257.91x = 293,120.73
  5. Step 5: Solve for x
    x = 293,120.73/257.91
  6. Step 6: Final answer
    x = 1,136.54

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.