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Finding the Third Proportional to 260.16 and 574.31

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Solution

The third proportional to 260.16 and 574.31 is: 1,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.16 : 574.31 = 574.31 : x
  2. Step 2: Convert to fraction form
    260.16/574.31 = 574.31/x
  3. Step 3: Cross multiply
    260.16x = 574.31 × 574.31
  4. Step 4: Simplify right side
    260.16x = 329,834.85
  5. Step 5: Solve for x
    x = 329,834.85/260.16
  6. Step 6: Final answer
    x = 1,267.83

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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.