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Finding the Third Proportional to 120.55 and 257.24

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Solution

The third proportional to 120.55 and 257.24 is: 548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.55 : 257.24 = 257.24 : x
  2. Step 2: Convert to fraction form
    120.55/257.24 = 257.24/x
  3. Step 3: Cross multiply
    120.55x = 257.24 × 257.24
  4. Step 4: Simplify right side
    120.55x = 66,171.53
  5. Step 5: Solve for x
    x = 66,171.53/120.55
  6. Step 6: Final answer
    x = 548.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.