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Finding the Third Proportional to 397,942.70 and 858,905.27

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Solution

The third proportional to 397,942.70 and 858,905.27 is: 1,853,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,942.70 : 858,905.27 = 858,905.27 : x
  2. Step 2: Convert to fraction form
    397,942.70/858,905.27 = 858,905.27/x
  3. Step 3: Cross multiply
    397,942.70x = 858,905.27 × 858,905.27
  4. Step 4: Simplify right side
    397,942.70x = 737,718,267,480.54
  5. Step 5: Solve for x
    x = 737,718,267,480.54/397,942.70
  6. Step 6: Final answer
    x = 1,853,830.40

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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.