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Finding the Third Proportional to 224,198 and 342,866

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Solution

The third proportional to 224,198 and 342,866 is: 524,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,198 : 342,866 = 342,866 : x
  2. Step 2: Convert to fraction form
    224,198/342,866 = 342,866/x
  3. Step 3: Cross multiply
    224,198x = 342,866 × 342,866
  4. Step 4: Simplify right side
    224,198x = 117,557,093,956
  5. Step 5: Solve for x
    x = 117,557,093,956/224,198
  6. Step 6: Final answer
    x = 524,344.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.