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Finding the Third Proportional to 57 and 123.94

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Solution

The third proportional to 57 and 123.94 is: 269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 123.94 = 123.94 : x
  2. Step 2: Convert to fraction form
    57/123.94 = 123.94/x
  3. Step 3: Cross multiply
    57x = 123.94 × 123.94
  4. Step 4: Simplify right side
    57x = 15,360.50
  5. Step 5: Solve for x
    x = 15,360.50/57
  6. Step 6: Final answer
    x = 269.48

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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.