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Finding the Third Proportional to 447,922 and 678,990

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Solution

The third proportional to 447,922 and 678,990 is: 1,029,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,922 : 678,990 = 678,990 : x
  2. Step 2: Convert to fraction form
    447,922/678,990 = 678,990/x
  3. Step 3: Cross multiply
    447,922x = 678,990 × 678,990
  4. Step 4: Simplify right side
    447,922x = 461,027,420,100
  5. Step 5: Solve for x
    x = 461,027,420,100/447,922
  6. Step 6: Final answer
    x = 1,029,258.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.