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Finding the Third Proportional to 419,487 and 908,958

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Solution

The third proportional to 419,487 and 908,958 is: 1,969,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,487 : 908,958 = 908,958 : x
  2. Step 2: Convert to fraction form
    419,487/908,958 = 908,958/x
  3. Step 3: Cross multiply
    419,487x = 908,958 × 908,958
  4. Step 4: Simplify right side
    419,487x = 826,204,645,764
  5. Step 5: Solve for x
    x = 826,204,645,764/419,487
  6. Step 6: Final answer
    x = 1,969,559.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.