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Finding the Third Proportional to 52,040 and 111,976

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Solution

The third proportional to 52,040 and 111,976 is: 240,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,040 : 111,976 = 111,976 : x
  2. Step 2: Convert to fraction form
    52,040/111,976 = 111,976/x
  3. Step 3: Cross multiply
    52,040x = 111,976 × 111,976
  4. Step 4: Simplify right side
    52,040x = 12,538,624,576
  5. Step 5: Solve for x
    x = 12,538,624,576/52,040
  6. Step 6: Final answer
    x = 240,942.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.