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Finding the Third Proportional to 8,192 and 13,344

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Solution

The third proportional to 8,192 and 13,344 is: 21,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192 : 13,344 = 13,344 : x
  2. Step 2: Convert to fraction form
    8,192/13,344 = 13,344/x
  3. Step 3: Cross multiply
    8,192x = 13,344 × 13,344
  4. Step 4: Simplify right side
    8,192x = 178,062,336
  5. Step 5: Solve for x
    x = 178,062,336/8,192
  6. Step 6: Final answer
    x = 21,736.13

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.