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Finding the Third Proportional to 419,686 and 906,380

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Solution

The third proportional to 419,686 and 906,380 is: 1,957,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,686 : 906,380 = 906,380 : x
  2. Step 2: Convert to fraction form
    419,686/906,380 = 906,380/x
  3. Step 3: Cross multiply
    419,686x = 906,380 × 906,380
  4. Step 4: Simplify right side
    419,686x = 821,524,704,400
  5. Step 5: Solve for x
    x = 821,524,704,400/419,686
  6. Step 6: Final answer
    x = 1,957,474.65

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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.