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Finding the Third Proportional to 57.45 and 121.96

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Solution

The third proportional to 57.45 and 121.96 is: 258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.45 : 121.96 = 121.96 : x
  2. Step 2: Convert to fraction form
    57.45/121.96 = 121.96/x
  3. Step 3: Cross multiply
    57.45x = 121.96 × 121.96
  4. Step 4: Simplify right side
    57.45x = 14,873.52
  5. Step 5: Solve for x
    x = 14,873.52/57.45
  6. Step 6: Final answer
    x = 258.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.