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Finding the Third Proportional to 397,945 and 858,910

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Solution

The third proportional to 397,945 and 858,910 is: 1,853,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,945 : 858,910 = 858,910 : x
  2. Step 2: Convert to fraction form
    397,945/858,910 = 858,910/x
  3. Step 3: Cross multiply
    397,945x = 858,910 × 858,910
  4. Step 4: Simplify right side
    397,945x = 737,726,388,100
  5. Step 5: Solve for x
    x = 737,726,388,100/397,945
  6. Step 6: Final answer
    x = 1,853,840.07

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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.