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Finding the Third Proportional to 123.94 and 220.88

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Solution

The third proportional to 123.94 and 220.88 is: 393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.94 : 220.88 = 220.88 : x
  2. Step 2: Convert to fraction form
    123.94/220.88 = 220.88/x
  3. Step 3: Cross multiply
    123.94x = 220.88 × 220.88
  4. Step 4: Simplify right side
    123.94x = 48,785.77
  5. Step 5: Solve for x
    x = 48,785.77/123.94
  6. Step 6: Final answer
    x = 393.63

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.