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Finding the Third Proportional to 381.19 and 575.81

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Solution

The third proportional to 381.19 and 575.81 is: 869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.19 : 575.81 = 575.81 : x
  2. Step 2: Convert to fraction form
    381.19/575.81 = 575.81/x
  3. Step 3: Cross multiply
    381.19x = 575.81 × 575.81
  4. Step 4: Simplify right side
    381.19x = 331,560.04
  5. Step 5: Solve for x
    x = 331,560.04/381.19
  6. Step 6: Final answer
    x = 869.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.