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Finding the Third Proportional to 311,867 and 739,992

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Solution

The third proportional to 311,867 and 739,992 is: 1,755,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,867 : 739,992 = 739,992 : x
  2. Step 2: Convert to fraction form
    311,867/739,992 = 739,992/x
  3. Step 3: Cross multiply
    311,867x = 739,992 × 739,992
  4. Step 4: Simplify right side
    311,867x = 547,588,160,064
  5. Step 5: Solve for x
    x = 547,588,160,064/311,867
  6. Step 6: Final answer
    x = 1,755,838.74

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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.