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Finding the Third Proportional to 260.56 and 576.18

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Solution

The third proportional to 260.56 and 576.18 is: 1,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.56 : 576.18 = 576.18 : x
  2. Step 2: Convert to fraction form
    260.56/576.18 = 576.18/x
  3. Step 3: Cross multiply
    260.56x = 576.18 × 576.18
  4. Step 4: Simplify right side
    260.56x = 331,978.53
  5. Step 5: Solve for x
    x = 331,978.53/260.56
  6. Step 6: Final answer
    x = 1,274.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.