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Finding the Third Proportional to 1,080.75 and 2,530.88

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Solution

The third proportional to 1,080.75 and 2,530.88 is: 5,926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.75 : 2,530.88 = 2,530.88 : x
  2. Step 2: Convert to fraction form
    1,080.75/2,530.88 = 2,530.88/x
  3. Step 3: Cross multiply
    1,080.75x = 2,530.88 × 2,530.88
  4. Step 4: Simplify right side
    1,080.75x = 6,405,328.27
  5. Step 5: Solve for x
    x = 6,405,328.27/1,080.75
  6. Step 6: Final answer
    x = 5,926.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.