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Finding the Third Proportional to 3,286.83 and 4,428.42

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Solution

The third proportional to 3,286.83 and 4,428.42 is: 5,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.83 : 4,428.42 = 4,428.42 : x
  2. Step 2: Convert to fraction form
    3,286.83/4,428.42 = 4,428.42/x
  3. Step 3: Cross multiply
    3,286.83x = 4,428.42 × 4,428.42
  4. Step 4: Simplify right side
    3,286.83x = 19,610,920.30
  5. Step 5: Solve for x
    x = 19,610,920.30/3,286.83
  6. Step 6: Final answer
    x = 5,966.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.