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Finding the Third Proportional to 11,520 and 18,864

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Solution

The third proportional to 11,520 and 18,864 is: 30,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520 : 18,864 = 18,864 : x
  2. Step 2: Convert to fraction form
    11,520/18,864 = 18,864/x
  3. Step 3: Cross multiply
    11,520x = 18,864 × 18,864
  4. Step 4: Simplify right side
    11,520x = 355,850,496
  5. Step 5: Solve for x
    x = 355,850,496/11,520
  6. Step 6: Final answer
    x = 30,889.80

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.