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Finding the Third Proportional to 1,080.56 and 2,490.19

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Solution

The third proportional to 1,080.56 and 2,490.19 is: 5,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.56 : 2,490.19 = 2,490.19 : x
  2. Step 2: Convert to fraction form
    1,080.56/2,490.19 = 2,490.19/x
  3. Step 3: Cross multiply
    1,080.56x = 2,490.19 × 2,490.19
  4. Step 4: Simplify right side
    1,080.56x = 6,201,033.79
  5. Step 5: Solve for x
    x = 6,201,033.79/1,080.56
  6. Step 6: Final answer
    x = 5,738.71

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.