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Finding the Third Proportional to 135,847 and 297,939

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Solution

The third proportional to 135,847 and 297,939 is: 653,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,847 : 297,939 = 297,939 : x
  2. Step 2: Convert to fraction form
    135,847/297,939 = 297,939/x
  3. Step 3: Cross multiply
    135,847x = 297,939 × 297,939
  4. Step 4: Simplify right side
    135,847x = 88,767,647,721
  5. Step 5: Solve for x
    x = 88,767,647,721/135,847
  6. Step 6: Final answer
    x = 653,438.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.