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Finding the Third Proportional to 447,369 and 979,788

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Solution

The third proportional to 447,369 and 979,788 is: 2,145,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,369 : 979,788 = 979,788 : x
  2. Step 2: Convert to fraction form
    447,369/979,788 = 979,788/x
  3. Step 3: Cross multiply
    447,369x = 979,788 × 979,788
  4. Step 4: Simplify right side
    447,369x = 959,984,524,944
  5. Step 5: Solve for x
    x = 959,984,524,944/447,369
  6. Step 6: Final answer
    x = 2,145,844.98

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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.