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Finding the Third Proportional to 419,309 and 920,990

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Solution

The third proportional to 419,309 and 920,990 is: 2,022,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,309 : 920,990 = 920,990 : x
  2. Step 2: Convert to fraction form
    419,309/920,990 = 920,990/x
  3. Step 3: Cross multiply
    419,309x = 920,990 × 920,990
  4. Step 4: Simplify right side
    419,309x = 848,222,580,100
  5. Step 5: Solve for x
    x = 848,222,580,100/419,309
  6. Step 6: Final answer
    x = 2,022,905.73

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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.