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Finding the Third Proportional to 288.56 and 394.24

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Solution

The third proportional to 288.56 and 394.24 is: 538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 394.24 = 394.24 : x
  2. Step 2: Convert to fraction form
    288.56/394.24 = 394.24/x
  3. Step 3: Cross multiply
    288.56x = 394.24 × 394.24
  4. Step 4: Simplify right side
    288.56x = 155,426.90
  5. Step 5: Solve for x
    x = 155,426.90/288.56
  6. Step 6: Final answer
    x = 538.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.