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Finding the Third Proportional to 11,817 and 19,344

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Solution

The third proportional to 11,817 and 19,344 is: 31,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817 : 19,344 = 19,344 : x
  2. Step 2: Convert to fraction form
    11,817/19,344 = 19,344/x
  3. Step 3: Cross multiply
    11,817x = 19,344 × 19,344
  4. Step 4: Simplify right side
    11,817x = 374,190,336
  5. Step 5: Solve for x
    x = 374,190,336/11,817
  6. Step 6: Final answer
    x = 31,665.43

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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.