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Finding the Third Proportional to 275.81 and 574.31

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Solution

The third proportional to 275.81 and 574.31 is: 1,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 574.31 = 574.31 : x
  2. Step 2: Convert to fraction form
    275.81/574.31 = 574.31/x
  3. Step 3: Cross multiply
    275.81x = 574.31 × 574.31
  4. Step 4: Simplify right side
    275.81x = 329,834.85
  5. Step 5: Solve for x
    x = 329,834.85/275.81
  6. Step 6: Final answer
    x = 1,195.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.