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Finding the Third Proportional to 2,550.23 and 4,098.09

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Solution

The third proportional to 2,550.23 and 4,098.09 is: 6,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.23 : 4,098.09 = 4,098.09 : x
  2. Step 2: Convert to fraction form
    2,550.23/4,098.09 = 4,098.09/x
  3. Step 3: Cross multiply
    2,550.23x = 4,098.09 × 4,098.09
  4. Step 4: Simplify right side
    2,550.23x = 16,794,372.38
  5. Step 5: Solve for x
    x = 16,794,372.38/2,550.23
  6. Step 6: Final answer
    x = 6,585.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.