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Finding the Third Proportional to 252.94 and 380.19

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Solution

The third proportional to 252.94 and 380.19 is: 571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.94 : 380.19 = 380.19 : x
  2. Step 2: Convert to fraction form
    252.94/380.19 = 380.19/x
  3. Step 3: Cross multiply
    252.94x = 380.19 × 380.19
  4. Step 4: Simplify right side
    252.94x = 144,542.54
  5. Step 5: Solve for x
    x = 144,542.54/252.94
  6. Step 6: Final answer
    x = 571.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.