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Finding the Third Proportional to 397,086 and 856,376

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Solution

The third proportional to 397,086 and 856,376 is: 1,846,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,086 : 856,376 = 856,376 : x
  2. Step 2: Convert to fraction form
    397,086/856,376 = 856,376/x
  3. Step 3: Cross multiply
    397,086x = 856,376 × 856,376
  4. Step 4: Simplify right side
    397,086x = 733,379,853,376
  5. Step 5: Solve for x
    x = 733,379,853,376/397,086
  6. Step 6: Final answer
    x = 1,846,904.33

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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.