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Finding the Third Proportional to 311,869 and 739,997

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Solution

The third proportional to 311,869 and 739,997 is: 1,755,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,869 : 739,997 = 739,997 : x
  2. Step 2: Convert to fraction form
    311,869/739,997 = 739,997/x
  3. Step 3: Cross multiply
    311,869x = 739,997 × 739,997
  4. Step 4: Simplify right side
    311,869x = 547,595,560,009
  5. Step 5: Solve for x
    x = 547,595,560,009/311,869
  6. Step 6: Final answer
    x = 1,755,851.21

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.