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Finding the Third Proportional to 398,295 and 859,977

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Solution

The third proportional to 398,295 and 859,977 is: 1,856,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,295 : 859,977 = 859,977 : x
  2. Step 2: Convert to fraction form
    398,295/859,977 = 859,977/x
  3. Step 3: Cross multiply
    398,295x = 859,977 × 859,977
  4. Step 4: Simplify right side
    398,295x = 739,560,440,529
  5. Step 5: Solve for x
    x = 739,560,440,529/398,295
  6. Step 6: Final answer
    x = 1,856,815.78

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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.