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Finding the Third Proportional to 388,966 and 804,930

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Solution

The third proportional to 388,966 and 804,930 is: 1,665,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,966 : 804,930 = 804,930 : x
  2. Step 2: Convert to fraction form
    388,966/804,930 = 804,930/x
  3. Step 3: Cross multiply
    388,966x = 804,930 × 804,930
  4. Step 4: Simplify right side
    388,966x = 647,912,304,900
  5. Step 5: Solve for x
    x = 647,912,304,900/388,966
  6. Step 6: Final answer
    x = 1,665,729.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.