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Finding the Third Proportional to 385.88 and 831.38

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Solution

The third proportional to 385.88 and 831.38 is: 1,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.88 : 831.38 = 831.38 : x
  2. Step 2: Convert to fraction form
    385.88/831.38 = 831.38/x
  3. Step 3: Cross multiply
    385.88x = 831.38 × 831.38
  4. Step 4: Simplify right side
    385.88x = 691,184.39
  5. Step 5: Solve for x
    x = 691,184.39/385.88
  6. Step 6: Final answer
    x = 1,791.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.