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Finding the Third Proportional to 57.05 and 79.73

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Solution

The third proportional to 57.05 and 79.73 is: 111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.05 : 79.73 = 79.73 : x
  2. Step 2: Convert to fraction form
    57.05/79.73 = 79.73/x
  3. Step 3: Cross multiply
    57.05x = 79.73 × 79.73
  4. Step 4: Simplify right side
    57.05x = 6,356.95
  5. Step 5: Solve for x
    x = 6,356.95/57.05
  6. Step 6: Final answer
    x = 111.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.