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Finding the Third Proportional to 378,692 and 816,433

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Solution

The third proportional to 378,692 and 816,433 is: 1,760,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,692 : 816,433 = 816,433 : x
  2. Step 2: Convert to fraction form
    378,692/816,433 = 816,433/x
  3. Step 3: Cross multiply
    378,692x = 816,433 × 816,433
  4. Step 4: Simplify right side
    378,692x = 666,562,843,489
  5. Step 5: Solve for x
    x = 666,562,843,489/378,692
  6. Step 6: Final answer
    x = 1,760,171.44

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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.