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Finding the Third Proportional to 39,996 and 56,976

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Solution

The third proportional to 39,996 and 56,976 is: 81,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,996 : 56,976 = 56,976 : x
  2. Step 2: Convert to fraction form
    39,996/56,976 = 56,976/x
  3. Step 3: Cross multiply
    39,996x = 56,976 × 56,976
  4. Step 4: Simplify right side
    39,996x = 3,246,264,576
  5. Step 5: Solve for x
    x = 3,246,264,576/39,996
  6. Step 6: Final answer
    x = 81,164.73

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Why These Related Problems?

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