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Finding the Third Proportional to 419,978 and 921,610

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Solution

The third proportional to 419,978 and 921,610 is: 2,022,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,978 : 921,610 = 921,610 : x
  2. Step 2: Convert to fraction form
    419,978/921,610 = 921,610/x
  3. Step 3: Cross multiply
    419,978x = 921,610 × 921,610
  4. Step 4: Simplify right side
    419,978x = 849,364,992,100
  5. Step 5: Solve for x
    x = 849,364,992,100/419,978
  6. Step 6: Final answer
    x = 2,022,403.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.