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Finding the Third Proportional to 3,849.38 and 9,081.75

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Solution

The third proportional to 3,849.38 and 9,081.75 is: 21,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.38 : 9,081.75 = 9,081.75 : x
  2. Step 2: Convert to fraction form
    3,849.38/9,081.75 = 9,081.75/x
  3. Step 3: Cross multiply
    3,849.38x = 9,081.75 × 9,081.75
  4. Step 4: Simplify right side
    3,849.38x = 82,478,183.06
  5. Step 5: Solve for x
    x = 82,478,183.06/3,849.38
  6. Step 6: Final answer
    x = 21,426.38

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.