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Finding the Third Proportional to 3,831.52 and 5,455.75

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Solution

The third proportional to 3,831.52 and 5,455.75 is: 7,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.52 : 5,455.75 = 5,455.75 : x
  2. Step 2: Convert to fraction form
    3,831.52/5,455.75 = 5,455.75/x
  3. Step 3: Cross multiply
    3,831.52x = 5,455.75 × 5,455.75
  4. Step 4: Simplify right side
    3,831.52x = 29,765,245.36
  5. Step 5: Solve for x
    x = 29,765,245.36/3,831.52
  6. Step 6: Final answer
    x = 7,768.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.