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Finding the Third Proportional to 57 and 79.69

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Solution

The third proportional to 57 and 79.69 is: 111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 79.69 = 79.69 : x
  2. Step 2: Convert to fraction form
    57/79.69 = 79.69/x
  3. Step 3: Cross multiply
    57x = 79.69 × 79.69
  4. Step 4: Simplify right side
    57x = 6,350.10
  5. Step 5: Solve for x
    x = 6,350.10/57
  6. Step 6: Final answer
    x = 111.41

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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.