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Finding the Third Proportional to 158,198 and 343,756

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Solution

The third proportional to 158,198 and 343,756 is: 746,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,198 : 343,756 = 343,756 : x
  2. Step 2: Convert to fraction form
    158,198/343,756 = 343,756/x
  3. Step 3: Cross multiply
    158,198x = 343,756 × 343,756
  4. Step 4: Simplify right side
    158,198x = 118,168,187,536
  5. Step 5: Solve for x
    x = 118,168,187,536/158,198
  6. Step 6: Final answer
    x = 746,963.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.