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Finding the Third Proportional to 18,813 and 27,927

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Solution

The third proportional to 18,813 and 27,927 is: 41,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,813 : 27,927 = 27,927 : x
  2. Step 2: Convert to fraction form
    18,813/27,927 = 27,927/x
  3. Step 3: Cross multiply
    18,813x = 27,927 × 27,927
  4. Step 4: Simplify right side
    18,813x = 779,917,329
  5. Step 5: Solve for x
    x = 779,917,329/18,813
  6. Step 6: Final answer
    x = 41,456.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.