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Finding the Third Proportional to 378,443 and 815,638

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Solution

The third proportional to 378,443 and 815,638 is: 1,757,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,443 : 815,638 = 815,638 : x
  2. Step 2: Convert to fraction form
    378,443/815,638 = 815,638/x
  3. Step 3: Cross multiply
    378,443x = 815,638 × 815,638
  4. Step 4: Simplify right side
    378,443x = 665,265,347,044
  5. Step 5: Solve for x
    x = 665,265,347,044/378,443
  6. Step 6: Final answer
    x = 1,757,901.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.