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Finding the Third Proportional to 34.36 and 69.64

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Solution

The third proportional to 34.36 and 69.64 is: 141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.36 : 69.64 = 69.64 : x
  2. Step 2: Convert to fraction form
    34.36/69.64 = 69.64/x
  3. Step 3: Cross multiply
    34.36x = 69.64 × 69.64
  4. Step 4: Simplify right side
    34.36x = 4,849.14
  5. Step 5: Solve for x
    x = 4,849.14/34.36
  6. Step 6: Final answer
    x = 141.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.