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Finding the Third Proportional to 381.47 and 831.19

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Solution

The third proportional to 381.47 and 831.19 is: 1,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.47 : 831.19 = 831.19 : x
  2. Step 2: Convert to fraction form
    381.47/831.19 = 831.19/x
  3. Step 3: Cross multiply
    381.47x = 831.19 × 831.19
  4. Step 4: Simplify right side
    381.47x = 690,872.66
  5. Step 5: Solve for x
    x = 690,872.66/381.47
  6. Step 6: Final answer
    x = 1,811.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.