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Finding the Third Proportional to 511,115 and 801,836

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Solution

The third proportional to 511,115 and 801,836 is: 1,257,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,115 : 801,836 = 801,836 : x
  2. Step 2: Convert to fraction form
    511,115/801,836 = 801,836/x
  3. Step 3: Cross multiply
    511,115x = 801,836 × 801,836
  4. Step 4: Simplify right side
    511,115x = 642,940,970,896
  5. Step 5: Solve for x
    x = 642,940,970,896/511,115
  6. Step 6: Final answer
    x = 1,257,918.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.