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Finding the Third Proportional to 221,676 and 343,949

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Solution

The third proportional to 221,676 and 343,949 is: 533,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,676 : 343,949 = 343,949 : x
  2. Step 2: Convert to fraction form
    221,676/343,949 = 343,949/x
  3. Step 3: Cross multiply
    221,676x = 343,949 × 343,949
  4. Step 4: Simplify right side
    221,676x = 118,300,914,601
  5. Step 5: Solve for x
    x = 118,300,914,601/221,676
  6. Step 6: Final answer
    x = 533,665.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.