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Finding the Third Proportional to 379,100 and 816,952

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Solution

The third proportional to 379,100 and 816,952 is: 1,760,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,100 : 816,952 = 816,952 : x
  2. Step 2: Convert to fraction form
    379,100/816,952 = 816,952/x
  3. Step 3: Cross multiply
    379,100x = 816,952 × 816,952
  4. Step 4: Simplify right side
    379,100x = 667,410,570,304
  5. Step 5: Solve for x
    x = 667,410,570,304/379,100
  6. Step 6: Final answer
    x = 1,760,513.24

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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.