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Finding the Third Proportional to 380,193 and 816,546

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Solution

The third proportional to 380,193 and 816,546 is: 1,753,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,193 : 816,546 = 816,546 : x
  2. Step 2: Convert to fraction form
    380,193/816,546 = 816,546/x
  3. Step 3: Cross multiply
    380,193x = 816,546 × 816,546
  4. Step 4: Simplify right side
    380,193x = 666,747,370,116
  5. Step 5: Solve for x
    x = 666,747,370,116/380,193
  6. Step 6: Final answer
    x = 1,753,707.64

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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.