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Finding the Third Proportional to 386,647 and 848,942

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Solution

The third proportional to 386,647 and 848,942 is: 1,863,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,647 : 848,942 = 848,942 : x
  2. Step 2: Convert to fraction form
    386,647/848,942 = 848,942/x
  3. Step 3: Cross multiply
    386,647x = 848,942 × 848,942
  4. Step 4: Simplify right side
    386,647x = 720,702,519,364
  5. Step 5: Solve for x
    x = 720,702,519,364/386,647
  6. Step 6: Final answer
    x = 1,863,980.63

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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.