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Finding the Third Proportional to 419,485 and 908,954

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Solution

The third proportional to 419,485 and 908,954 is: 1,969,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,485 : 908,954 = 908,954 : x
  2. Step 2: Convert to fraction form
    419,485/908,954 = 908,954/x
  3. Step 3: Cross multiply
    419,485x = 908,954 × 908,954
  4. Step 4: Simplify right side
    419,485x = 826,197,374,116
  5. Step 5: Solve for x
    x = 826,197,374,116/419,485
  6. Step 6: Final answer
    x = 1,969,551.65

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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.