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Finding the Third Proportional to 379,500 and 815,282

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Solution

The third proportional to 379,500 and 815,282 is: 1,751,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,500 : 815,282 = 815,282 : x
  2. Step 2: Convert to fraction form
    379,500/815,282 = 815,282/x
  3. Step 3: Cross multiply
    379,500x = 815,282 × 815,282
  4. Step 4: Simplify right side
    379,500x = 664,684,739,524
  5. Step 5: Solve for x
    x = 664,684,739,524/379,500
  6. Step 6: Final answer
    x = 1,751,474.94

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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.