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Finding the Third Proportional to 274,633 and 415,821

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Solution

The third proportional to 274,633 and 415,821 is: 629,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,633 : 415,821 = 415,821 : x
  2. Step 2: Convert to fraction form
    274,633/415,821 = 415,821/x
  3. Step 3: Cross multiply
    274,633x = 415,821 × 415,821
  4. Step 4: Simplify right side
    274,633x = 172,907,104,041
  5. Step 5: Solve for x
    x = 172,907,104,041/274,633
  6. Step 6: Final answer
    x = 629,593.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.