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Finding the Third Proportional to 18,427 and 20,007

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Solution

The third proportional to 18,427 and 20,007 is: 21,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,427 : 20,007 = 20,007 : x
  2. Step 2: Convert to fraction form
    18,427/20,007 = 20,007/x
  3. Step 3: Cross multiply
    18,427x = 20,007 × 20,007
  4. Step 4: Simplify right side
    18,427x = 400,280,049
  5. Step 5: Solve for x
    x = 400,280,049/18,427
  6. Step 6: Final answer
    x = 21,722.48

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.