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Finding the Third Proportional to 3,052.69 and 3,367.83

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Solution

The third proportional to 3,052.69 and 3,367.83 is: 3,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.69 : 3,367.83 = 3,367.83 : x
  2. Step 2: Convert to fraction form
    3,052.69/3,367.83 = 3,367.83/x
  3. Step 3: Cross multiply
    3,052.69x = 3,367.83 × 3,367.83
  4. Step 4: Simplify right side
    3,052.69x = 11,342,266.28
  5. Step 5: Solve for x
    x = 11,342,266.28/3,052.69
  6. Step 6: Final answer
    x = 3,715.50

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.