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Finding the Third Proportional to 397,715 and 858,458

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Solution

The third proportional to 397,715 and 858,458 is: 1,852,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,715 : 858,458 = 858,458 : x
  2. Step 2: Convert to fraction form
    397,715/858,458 = 858,458/x
  3. Step 3: Cross multiply
    397,715x = 858,458 × 858,458
  4. Step 4: Simplify right side
    397,715x = 736,950,137,764
  5. Step 5: Solve for x
    x = 736,950,137,764/397,715
  6. Step 6: Final answer
    x = 1,852,960.38

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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.