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Finding the Third Proportional to 397,362 and 858,366

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Solution

The third proportional to 397,362 and 858,366 is: 1,854,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,362 : 858,366 = 858,366 : x
  2. Step 2: Convert to fraction form
    397,362/858,366 = 858,366/x
  3. Step 3: Cross multiply
    397,362x = 858,366 × 858,366
  4. Step 4: Simplify right side
    397,362x = 736,792,189,956
  5. Step 5: Solve for x
    x = 736,792,189,956/397,362
  6. Step 6: Final answer
    x = 1,854,208.98

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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.