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Finding the Third Proportional to 381 and 581.81

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Solution

The third proportional to 381 and 581.81 is: 888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381 : 581.81 = 581.81 : x
  2. Step 2: Convert to fraction form
    381/581.81 = 581.81/x
  3. Step 3: Cross multiply
    381x = 581.81 × 581.81
  4. Step 4: Simplify right side
    381x = 338,505.79
  5. Step 5: Solve for x
    x = 338,505.79/381
  6. Step 6: Final answer
    x = 888.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.