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Finding the Third Proportional to 18,218 and 27,983

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Solution

The third proportional to 18,218 and 27,983 is: 42,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,218 : 27,983 = 27,983 : x
  2. Step 2: Convert to fraction form
    18,218/27,983 = 27,983/x
  3. Step 3: Cross multiply
    18,218x = 27,983 × 27,983
  4. Step 4: Simplify right side
    18,218x = 783,048,289
  5. Step 5: Solve for x
    x = 783,048,289/18,218
  6. Step 6: Final answer
    x = 42,982.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.