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Finding the Third Proportional to 238.75 and 314.38

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Solution

The third proportional to 238.75 and 314.38 is: 413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.75 : 314.38 = 314.38 : x
  2. Step 2: Convert to fraction form
    238.75/314.38 = 314.38/x
  3. Step 3: Cross multiply
    238.75x = 314.38 × 314.38
  4. Step 4: Simplify right side
    238.75x = 98,831.64
  5. Step 5: Solve for x
    x = 98,831.64/238.75
  6. Step 6: Final answer
    x = 413.95

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.