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Finding the Third Proportional to 271,794 and 639,516

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Solution

The third proportional to 271,794 and 639,516 is: 1,504,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,794 : 639,516 = 639,516 : x
  2. Step 2: Convert to fraction form
    271,794/639,516 = 639,516/x
  3. Step 3: Cross multiply
    271,794x = 639,516 × 639,516
  4. Step 4: Simplify right side
    271,794x = 408,980,714,256
  5. Step 5: Solve for x
    x = 408,980,714,256/271,794
  6. Step 6: Final answer
    x = 1,504,745.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.