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Finding the Third Proportional to 34.69 and 49.19

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Solution

The third proportional to 34.69 and 49.19 is: 69.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.69 : 49.19 = 49.19 : x
  2. Step 2: Convert to fraction form
    34.69/49.19 = 49.19/x
  3. Step 3: Cross multiply
    34.69x = 49.19 × 49.19
  4. Step 4: Simplify right side
    34.69x = 2,419.41
  5. Step 5: Solve for x
    x = 2,419.41/34.69
  6. Step 6: Final answer
    x = 69.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.