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Finding the Third Proportional to 419,785 and 905,908

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Solution

The third proportional to 419,785 and 905,908 is: 1,954,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,785 : 905,908 = 905,908 : x
  2. Step 2: Convert to fraction form
    419,785/905,908 = 905,908/x
  3. Step 3: Cross multiply
    419,785x = 905,908 × 905,908
  4. Step 4: Simplify right side
    419,785x = 820,669,304,464
  5. Step 5: Solve for x
    x = 820,669,304,464/419,785
  6. Step 6: Final answer
    x = 1,954,975.30

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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.