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Finding the Third Proportional to 419,990 and 921,634

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Solution

The third proportional to 419,990 and 921,634 is: 2,022,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,990 : 921,634 = 921,634 : x
  2. Step 2: Convert to fraction form
    419,990/921,634 = 921,634/x
  3. Step 3: Cross multiply
    419,990x = 921,634 × 921,634
  4. Step 4: Simplify right side
    419,990x = 849,409,229,956
  5. Step 5: Solve for x
    x = 849,409,229,956/419,990
  6. Step 6: Final answer
    x = 2,022,451.08

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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.