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Finding the Third Proportional to 2,080.69 and 2,640.09

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Solution

The third proportional to 2,080.69 and 2,640.09 is: 3,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.69 : 2,640.09 = 2,640.09 : x
  2. Step 2: Convert to fraction form
    2,080.69/2,640.09 = 2,640.09/x
  3. Step 3: Cross multiply
    2,080.69x = 2,640.09 × 2,640.09
  4. Step 4: Simplify right side
    2,080.69x = 6,970,095.01
  5. Step 5: Solve for x
    x = 6,970,095.01/2,080.69
  6. Step 6: Final answer
    x = 3,349.90

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.