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Finding the Third Proportional to 398,782 and 860,177

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Solution

The third proportional to 398,782 and 860,177 is: 1,855,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,782 : 860,177 = 860,177 : x
  2. Step 2: Convert to fraction form
    398,782/860,177 = 860,177/x
  3. Step 3: Cross multiply
    398,782x = 860,177 × 860,177
  4. Step 4: Simplify right side
    398,782x = 739,904,471,329
  5. Step 5: Solve for x
    x = 739,904,471,329/398,782
  6. Step 6: Final answer
    x = 1,855,410.90

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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.