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Finding the Third Proportional to 271,228 and 408,822

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Solution

The third proportional to 271,228 and 408,822 is: 616,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,228 : 408,822 = 408,822 : x
  2. Step 2: Convert to fraction form
    271,228/408,822 = 408,822/x
  3. Step 3: Cross multiply
    271,228x = 408,822 × 408,822
  4. Step 4: Simplify right side
    271,228x = 167,135,427,684
  5. Step 5: Solve for x
    x = 167,135,427,684/271,228
  6. Step 6: Final answer
    x = 616,217.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.