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Finding the Third Proportional to 1,080.69 and 2,550.08

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Solution

The third proportional to 1,080.69 and 2,550.08 is: 6,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.69 : 2,550.08 = 2,550.08 : x
  2. Step 2: Convert to fraction form
    1,080.69/2,550.08 = 2,550.08/x
  3. Step 3: Cross multiply
    1,080.69x = 2,550.08 × 2,550.08
  4. Step 4: Simplify right side
    1,080.69x = 6,502,888.48
  5. Step 5: Solve for x
    x = 6,502,888.48/1,080.69
  6. Step 6: Final answer
    x = 6,017.37

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Why These Related Problems?

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