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Finding the Third Proportional to 378,441 and 815,634

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Solution

The third proportional to 378,441 and 815,634 is: 1,757,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,441 : 815,634 = 815,634 : x
  2. Step 2: Convert to fraction form
    378,441/815,634 = 815,634/x
  3. Step 3: Cross multiply
    378,441x = 815,634 × 815,634
  4. Step 4: Simplify right side
    378,441x = 665,258,821,956
  5. Step 5: Solve for x
    x = 665,258,821,956/378,441
  6. Step 6: Final answer
    x = 1,757,893.10

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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.