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Finding the Third Proportional to 271,636 and 407,966

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Solution

The third proportional to 271,636 and 407,966 is: 612,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,636 : 407,966 = 407,966 : x
  2. Step 2: Convert to fraction form
    271,636/407,966 = 407,966/x
  3. Step 3: Cross multiply
    271,636x = 407,966 × 407,966
  4. Step 4: Simplify right side
    271,636x = 166,436,257,156
  5. Step 5: Solve for x
    x = 166,436,257,156/271,636
  6. Step 6: Final answer
    x = 612,717.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.