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Finding the Third Proportional to 379,099 and 816,950

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Solution

The third proportional to 379,099 and 816,950 is: 1,760,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,099 : 816,950 = 816,950 : x
  2. Step 2: Convert to fraction form
    379,099/816,950 = 816,950/x
  3. Step 3: Cross multiply
    379,099x = 816,950 × 816,950
  4. Step 4: Simplify right side
    379,099x = 667,407,302,500
  5. Step 5: Solve for x
    x = 667,407,302,500/379,099
  6. Step 6: Final answer
    x = 1,760,509.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.