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Finding the Third Proportional to 260.25 and 571.69

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Solution

The third proportional to 260.25 and 571.69 is: 1,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.25 : 571.69 = 571.69 : x
  2. Step 2: Convert to fraction form
    260.25/571.69 = 571.69/x
  3. Step 3: Cross multiply
    260.25x = 571.69 × 571.69
  4. Step 4: Simplify right side
    260.25x = 326,826.60
  5. Step 5: Solve for x
    x = 326,826.60/260.25
  6. Step 6: Final answer
    x = 1,255.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.