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Finding the Third Proportional to 447,924 and 678,993

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Solution

The third proportional to 447,924 and 678,993 is: 1,029,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,924 : 678,993 = 678,993 : x
  2. Step 2: Convert to fraction form
    447,924/678,993 = 678,993/x
  3. Step 3: Cross multiply
    447,924x = 678,993 × 678,993
  4. Step 4: Simplify right side
    447,924x = 461,031,494,049
  5. Step 5: Solve for x
    x = 461,031,494,049/447,924
  6. Step 6: Final answer
    x = 1,029,262.76

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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.