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Finding the Third Proportional to 419,802 and 905,940

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Solution

The third proportional to 419,802 and 905,940 is: 1,955,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,802 : 905,940 = 905,940 : x
  2. Step 2: Convert to fraction form
    419,802/905,940 = 905,940/x
  3. Step 3: Cross multiply
    419,802x = 905,940 × 905,940
  4. Step 4: Simplify right side
    419,802x = 820,727,283,600
  5. Step 5: Solve for x
    x = 820,727,283,600/419,802
  6. Step 6: Final answer
    x = 1,955,034.24

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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.