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Finding the Third Proportional to 18,288 and 27,384

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Solution

The third proportional to 18,288 and 27,384 is: 41,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288 : 27,384 = 27,384 : x
  2. Step 2: Convert to fraction form
    18,288/27,384 = 27,384/x
  3. Step 3: Cross multiply
    18,288x = 27,384 × 27,384
  4. Step 4: Simplify right side
    18,288x = 749,883,456
  5. Step 5: Solve for x
    x = 749,883,456/18,288
  6. Step 6: Final answer
    x = 41,004.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.