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Finding the Third Proportional to 30.70 and 34.69

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Solution

The third proportional to 30.70 and 34.69 is: 39.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.70 : 34.69 = 34.69 : x
  2. Step 2: Convert to fraction form
    30.70/34.69 = 34.69/x
  3. Step 3: Cross multiply
    30.70x = 34.69 × 34.69
  4. Step 4: Simplify right side
    30.70x = 1,203.22
  5. Step 5: Solve for x
    x = 1,203.22/30.70
  6. Step 6: Final answer
    x = 39.19

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.