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Finding the Third Proportional to 18,288 and 38,592

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Solution

The third proportional to 18,288 and 38,592 is: 81,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288 : 38,592 = 38,592 : x
  2. Step 2: Convert to fraction form
    18,288/38,592 = 38,592/x
  3. Step 3: Cross multiply
    18,288x = 38,592 × 38,592
  4. Step 4: Simplify right side
    18,288x = 1,489,342,464
  5. Step 5: Solve for x
    x = 1,489,342,464/18,288
  6. Step 6: Final answer
    x = 81,438.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.