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Finding the Third Proportional to 15.69 and 34.44

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Solution

The third proportional to 15.69 and 34.44 is: 75.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.69 : 34.44 = 34.44 : x
  2. Step 2: Convert to fraction form
    15.69/34.44 = 34.44/x
  3. Step 3: Cross multiply
    15.69x = 34.44 × 34.44
  4. Step 4: Simplify right side
    15.69x = 1,185.94
  5. Step 5: Solve for x
    x = 1,185.94/15.69
  6. Step 6: Final answer
    x = 75.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.