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Finding the Third Proportional to 379,502 and 815,286

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Solution

The third proportional to 379,502 and 815,286 is: 1,751,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,502 : 815,286 = 815,286 : x
  2. Step 2: Convert to fraction form
    379,502/815,286 = 815,286/x
  3. Step 3: Cross multiply
    379,502x = 815,286 × 815,286
  4. Step 4: Simplify right side
    379,502x = 664,691,261,796
  5. Step 5: Solve for x
    x = 664,691,261,796/379,502
  6. Step 6: Final answer
    x = 1,751,482.90

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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.