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Finding the Third Proportional to 271,226 and 408,819

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Solution

The third proportional to 271,226 and 408,819 is: 616,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,226 : 408,819 = 408,819 : x
  2. Step 2: Convert to fraction form
    271,226/408,819 = 408,819/x
  3. Step 3: Cross multiply
    271,226x = 408,819 × 408,819
  4. Step 4: Simplify right side
    271,226x = 167,132,974,761
  5. Step 5: Solve for x
    x = 167,132,974,761/271,226
  6. Step 6: Final answer
    x = 616,212.95

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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.