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Finding the Third Proportional to 188,638 and 405,367

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Solution

The third proportional to 188,638 and 405,367 is: 871,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,638 : 405,367 = 405,367 : x
  2. Step 2: Convert to fraction form
    188,638/405,367 = 405,367/x
  3. Step 3: Cross multiply
    188,638x = 405,367 × 405,367
  4. Step 4: Simplify right side
    188,638x = 164,322,404,689
  5. Step 5: Solve for x
    x = 164,322,404,689/188,638
  6. Step 6: Final answer
    x = 871,099.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.