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Finding the Third Proportional to 18,424 and 27,976

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Solution

The third proportional to 18,424 and 27,976 is: 42,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,424 : 27,976 = 27,976 : x
  2. Step 2: Convert to fraction form
    18,424/27,976 = 27,976/x
  3. Step 3: Cross multiply
    18,424x = 27,976 × 27,976
  4. Step 4: Simplify right side
    18,424x = 782,656,576
  5. Step 5: Solve for x
    x = 782,656,576/18,424
  6. Step 6: Final answer
    x = 42,480.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.