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Finding the Third Proportional to 385.36 and 831.47

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Solution

The third proportional to 385.36 and 831.47 is: 1,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.36 : 831.47 = 831.47 : x
  2. Step 2: Convert to fraction form
    385.36/831.47 = 831.47/x
  3. Step 3: Cross multiply
    385.36x = 831.47 × 831.47
  4. Step 4: Simplify right side
    385.36x = 691,340.28
  5. Step 5: Solve for x
    x = 691,340.28/385.36
  6. Step 6: Final answer
    x = 1,794.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.