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Finding the Third Proportional to 3,834.84 and 5,428.27

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Solution

The third proportional to 3,834.84 and 5,428.27 is: 7,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 5,428.27 = 5,428.27 : x
  2. Step 2: Convert to fraction form
    3,834.84/5,428.27 = 5,428.27/x
  3. Step 3: Cross multiply
    3,834.84x = 5,428.27 × 5,428.27
  4. Step 4: Simplify right side
    3,834.84x = 29,466,067.70
  5. Step 5: Solve for x
    x = 29,466,067.70/3,834.84
  6. Step 6: Final answer
    x = 7,683.77

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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.