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Finding the Third Proportional to 445,122 and 943,218

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Solution

The third proportional to 445,122 and 943,218 is: 1,998,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,122 : 943,218 = 943,218 : x
  2. Step 2: Convert to fraction form
    445,122/943,218 = 943,218/x
  3. Step 3: Cross multiply
    445,122x = 943,218 × 943,218
  4. Step 4: Simplify right side
    445,122x = 889,660,195,524
  5. Step 5: Solve for x
    x = 889,660,195,524/445,122
  6. Step 6: Final answer
    x = 1,998,688.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.