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Finding the Third Proportional to 3,282.52 and 7,202.77

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Solution

The third proportional to 3,282.52 and 7,202.77 is: 15,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.52 : 7,202.77 = 7,202.77 : x
  2. Step 2: Convert to fraction form
    3,282.52/7,202.77 = 7,202.77/x
  3. Step 3: Cross multiply
    3,282.52x = 7,202.77 × 7,202.77
  4. Step 4: Simplify right side
    3,282.52x = 51,879,832.65
  5. Step 5: Solve for x
    x = 51,879,832.65/3,282.52
  6. Step 6: Final answer
    x = 15,804.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.