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Finding the Third Proportional to 34.93 and 69.86

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Solution

The third proportional to 34.93 and 69.86 is: 139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.93 : 69.86 = 69.86 : x
  2. Step 2: Convert to fraction form
    34.93/69.86 = 69.86/x
  3. Step 3: Cross multiply
    34.93x = 69.86 × 69.86
  4. Step 4: Simplify right side
    34.93x = 4,879.80
  5. Step 5: Solve for x
    x = 4,879.80/34.93
  6. Step 6: Final answer
    x = 139.71

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.