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Finding the Third Proportional to 156,736 and 343,517

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Solution

The third proportional to 156,736 and 343,517 is: 752,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,736 : 343,517 = 343,517 : x
  2. Step 2: Convert to fraction form
    156,736/343,517 = 343,517/x
  3. Step 3: Cross multiply
    156,736x = 343,517 × 343,517
  4. Step 4: Simplify right side
    156,736x = 118,003,929,289
  5. Step 5: Solve for x
    x = 118,003,929,289/156,736
  6. Step 6: Final answer
    x = 752,883.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.