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Finding the Third Proportional to 397,208 and 936,856

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Solution

The third proportional to 397,208 and 936,856 is: 2,209,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,208 : 936,856 = 936,856 : x
  2. Step 2: Convert to fraction form
    397,208/936,856 = 936,856/x
  3. Step 3: Cross multiply
    397,208x = 936,856 × 936,856
  4. Step 4: Simplify right side
    397,208x = 877,699,164,736
  5. Step 5: Solve for x
    x = 877,699,164,736/397,208
  6. Step 6: Final answer
    x = 2,209,671.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.