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Finding the Third Proportional to 275,199 and 419,916

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Solution

The third proportional to 275,199 and 419,916 is: 640,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,199 : 419,916 = 419,916 : x
  2. Step 2: Convert to fraction form
    275,199/419,916 = 419,916/x
  3. Step 3: Cross multiply
    275,199x = 419,916 × 419,916
  4. Step 4: Simplify right side
    275,199x = 176,329,447,056
  5. Step 5: Solve for x
    x = 176,329,447,056/275,199
  6. Step 6: Final answer
    x = 640,734.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.