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Finding the Third Proportional to 288.56 and 381.16

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Solution

The third proportional to 288.56 and 381.16 is: 503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 381.16 = 381.16 : x
  2. Step 2: Convert to fraction form
    288.56/381.16 = 381.16/x
  3. Step 3: Cross multiply
    288.56x = 381.16 × 381.16
  4. Step 4: Simplify right side
    288.56x = 145,286.04
  5. Step 5: Solve for x
    x = 145,286.04/288.56
  6. Step 6: Final answer
    x = 503.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.