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Finding the Third Proportional to 34.13 and 69.94

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Solution

The third proportional to 34.13 and 69.94 is: 143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.13 : 69.94 = 69.94 : x
  2. Step 2: Convert to fraction form
    34.13/69.94 = 69.94/x
  3. Step 3: Cross multiply
    34.13x = 69.94 × 69.94
  4. Step 4: Simplify right side
    34.13x = 4,891.25
  5. Step 5: Solve for x
    x = 4,891.25/34.13
  6. Step 6: Final answer
    x = 143.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.