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Finding the Third Proportional to 379,098 and 816,948

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Solution

The third proportional to 379,098 and 816,948 is: 1,760,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,098 : 816,948 = 816,948 : x
  2. Step 2: Convert to fraction form
    379,098/816,948 = 816,948/x
  3. Step 3: Cross multiply
    379,098x = 816,948 × 816,948
  4. Step 4: Simplify right side
    379,098x = 667,404,034,704
  5. Step 5: Solve for x
    x = 667,404,034,704/379,098
  6. Step 6: Final answer
    x = 1,760,505.29

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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.