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Finding the Third Proportional to 186.25 and 395.38

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Solution

The third proportional to 186.25 and 395.38 is: 839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.25 : 395.38 = 395.38 : x
  2. Step 2: Convert to fraction form
    186.25/395.38 = 395.38/x
  3. Step 3: Cross multiply
    186.25x = 395.38 × 395.38
  4. Step 4: Simplify right side
    186.25x = 156,321.39
  5. Step 5: Solve for x
    x = 156,321.39/186.25
  6. Step 6: Final answer
    x = 839.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.