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Finding the Third Proportional to 386,649 and 848,947

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Solution

The third proportional to 386,649 and 848,947 is: 1,863,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,649 : 848,947 = 848,947 : x
  2. Step 2: Convert to fraction form
    386,649/848,947 = 848,947/x
  3. Step 3: Cross multiply
    386,649x = 848,947 × 848,947
  4. Step 4: Simplify right side
    386,649x = 720,711,008,809
  5. Step 5: Solve for x
    x = 720,711,008,809/386,649
  6. Step 6: Final answer
    x = 1,863,992.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.