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Finding the Third Proportional to 3,288.09 and 7,145.72

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Solution

The third proportional to 3,288.09 and 7,145.72 is: 15,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.09 : 7,145.72 = 7,145.72 : x
  2. Step 2: Convert to fraction form
    3,288.09/7,145.72 = 7,145.72/x
  3. Step 3: Cross multiply
    3,288.09x = 7,145.72 × 7,145.72
  4. Step 4: Simplify right side
    3,288.09x = 51,061,296.45
  5. Step 5: Solve for x
    x = 51,061,296.45/3,288.09
  6. Step 6: Final answer
    x = 15,529.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.