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Finding the Third Proportional to 397,947 and 858,914

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Solution

The third proportional to 397,947 and 858,914 is: 1,853,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,947 : 858,914 = 858,914 : x
  2. Step 2: Convert to fraction form
    397,947/858,914 = 858,914/x
  3. Step 3: Cross multiply
    397,947x = 858,914 × 858,914
  4. Step 4: Simplify right side
    397,947x = 737,733,259,396
  5. Step 5: Solve for x
    x = 737,733,259,396/397,947
  6. Step 6: Final answer
    x = 1,853,848.02

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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.