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Finding the Third Proportional to 454,977 and 990,218

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Solution

The third proportional to 454,977 and 990,218 is: 2,155,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,977 : 990,218 = 990,218 : x
  2. Step 2: Convert to fraction form
    454,977/990,218 = 990,218/x
  3. Step 3: Cross multiply
    454,977x = 990,218 × 990,218
  4. Step 4: Simplify right side
    454,977x = 980,531,687,524
  5. Step 5: Solve for x
    x = 980,531,687,524/454,977
  6. Step 6: Final answer
    x = 2,155,123.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.