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Finding the Third Proportional to 271,230 and 408,825

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Solution

The third proportional to 271,230 and 408,825 is: 616,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,230 : 408,825 = 408,825 : x
  2. Step 2: Convert to fraction form
    271,230/408,825 = 408,825/x
  3. Step 3: Cross multiply
    271,230x = 408,825 × 408,825
  4. Step 4: Simplify right side
    271,230x = 167,137,880,625
  5. Step 5: Solve for x
    x = 167,137,880,625/271,230
  6. Step 6: Final answer
    x = 616,221.95

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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.