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Finding the Third Proportional to 57.05 and 123.66

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Solution

The third proportional to 57.05 and 123.66 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.05 : 123.66 = 123.66 : x
  2. Step 2: Convert to fraction form
    57.05/123.66 = 123.66/x
  3. Step 3: Cross multiply
    57.05x = 123.66 × 123.66
  4. Step 4: Simplify right side
    57.05x = 15,290.87
  5. Step 5: Solve for x
    x = 15,290.87/57.05
  6. Step 6: Final answer
    x = 268.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.