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Finding the Third Proportional to 378,972 and 815,292

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Solution

The third proportional to 378,972 and 815,292 is: 1,753,958.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,972 : 815,292 = 815,292 : x
  2. Step 2: Convert to fraction form
    378,972/815,292 = 815,292/x
  3. Step 3: Cross multiply
    378,972x = 815,292 × 815,292
  4. Step 4: Simplify right side
    378,972x = 664,701,045,264
  5. Step 5: Solve for x
    x = 664,701,045,264/378,972
  6. Step 6: Final answer
    x = 1,753,958.20

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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.