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Finding the Third Proportional to 380,189 and 816,538

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Solution

The third proportional to 380,189 and 816,538 is: 1,753,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,189 : 816,538 = 816,538 : x
  2. Step 2: Convert to fraction form
    380,189/816,538 = 816,538/x
  3. Step 3: Cross multiply
    380,189x = 816,538 × 816,538
  4. Step 4: Simplify right side
    380,189x = 666,734,305,444
  5. Step 5: Solve for x
    x = 666,734,305,444/380,189
  6. Step 6: Final answer
    x = 1,753,691.73

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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.