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Finding the Third Proportional to 259.31 and 574.73

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Solution

The third proportional to 259.31 and 574.73 is: 1,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.31 : 574.73 = 574.73 : x
  2. Step 2: Convert to fraction form
    259.31/574.73 = 574.73/x
  3. Step 3: Cross multiply
    259.31x = 574.73 × 574.73
  4. Step 4: Simplify right side
    259.31x = 330,319.60
  5. Step 5: Solve for x
    x = 330,319.60/259.31
  6. Step 6: Final answer
    x = 1,273.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.