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Finding the Third Proportional to 3,831.75 and 8,381.25

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Solution

The third proportional to 3,831.75 and 8,381.25 is: 18,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.75 : 8,381.25 = 8,381.25 : x
  2. Step 2: Convert to fraction form
    3,831.75/8,381.25 = 8,381.25/x
  3. Step 3: Cross multiply
    3,831.75x = 8,381.25 × 8,381.25
  4. Step 4: Simplify right side
    3,831.75x = 70,245,351.56
  5. Step 5: Solve for x
    x = 70,245,351.56/3,831.75
  6. Step 6: Final answer
    x = 18,332.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.