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Finding the Third Proportional to 397,793 and 858,599

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Solution

The third proportional to 397,793 and 858,599 is: 1,853,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,793 : 858,599 = 858,599 : x
  2. Step 2: Convert to fraction form
    397,793/858,599 = 858,599/x
  3. Step 3: Cross multiply
    397,793x = 858,599 × 858,599
  4. Step 4: Simplify right side
    397,793x = 737,192,242,801
  5. Step 5: Solve for x
    x = 737,192,242,801/397,793
  6. Step 6: Final answer
    x = 1,853,205.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.