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Finding the Third Proportional to 687,204 and 1,393,740

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Solution

The third proportional to 687,204 and 1,393,740 is: 2,826,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,204 : 1,393,740 = 1,393,740 : x
  2. Step 2: Convert to fraction form
    687,204/1,393,740 = 1,393,740/x
  3. Step 3: Cross multiply
    687,204x = 1,393,740 × 1,393,740
  4. Step 4: Simplify right side
    687,204x = 1,942,511,187,600
  5. Step 5: Solve for x
    x = 1,942,511,187,600/687,204
  6. Step 6: Final answer
    x = 2,826,687.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.