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Finding the Third Proportional to 378,686 and 816,394

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Solution

The third proportional to 378,686 and 816,394 is: 1,760,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,686 : 816,394 = 816,394 : x
  2. Step 2: Convert to fraction form
    378,686/816,394 = 816,394/x
  3. Step 3: Cross multiply
    378,686x = 816,394 × 816,394
  4. Step 4: Simplify right side
    378,686x = 666,499,163,236
  5. Step 5: Solve for x
    x = 666,499,163,236/378,686
  6. Step 6: Final answer
    x = 1,760,031.17

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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.