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Finding the Third Proportional to 393,849 and 858,981

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Solution

The third proportional to 393,849 and 858,981 is: 1,873,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,849 : 858,981 = 858,981 : x
  2. Step 2: Convert to fraction form
    393,849/858,981 = 858,981/x
  3. Step 3: Cross multiply
    393,849x = 858,981 × 858,981
  4. Step 4: Simplify right side
    393,849x = 737,848,358,361
  5. Step 5: Solve for x
    x = 737,848,358,361/393,849
  6. Step 6: Final answer
    x = 1,873,429.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.