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Finding the Third Proportional to 511,117 and 801,839

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Solution

The third proportional to 511,117 and 801,839 is: 1,257,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,117 : 801,839 = 801,839 : x
  2. Step 2: Convert to fraction form
    511,117/801,839 = 801,839/x
  3. Step 3: Cross multiply
    511,117x = 801,839 × 801,839
  4. Step 4: Simplify right side
    511,117x = 642,945,781,921
  5. Step 5: Solve for x
    x = 642,945,781,921/511,117
  6. Step 6: Final answer
    x = 1,257,922.91

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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.