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Finding the Third Proportional to 215,839 and 337,847

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Solution

The third proportional to 215,839 and 337,847 is: 528,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,839 : 337,847 = 337,847 : x
  2. Step 2: Convert to fraction form
    215,839/337,847 = 337,847/x
  3. Step 3: Cross multiply
    215,839x = 337,847 × 337,847
  4. Step 4: Simplify right side
    215,839x = 114,140,595,409
  5. Step 5: Solve for x
    x = 114,140,595,409/215,839
  6. Step 6: Final answer
    x = 528,822.85

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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.