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Finding the Third Proportional to 309,879 and 664,956

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Solution

The third proportional to 309,879 and 664,956 is: 1,426,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,879 : 664,956 = 664,956 : x
  2. Step 2: Convert to fraction form
    309,879/664,956 = 664,956/x
  3. Step 3: Cross multiply
    309,879x = 664,956 × 664,956
  4. Step 4: Simplify right side
    309,879x = 442,166,481,936
  5. Step 5: Solve for x
    x = 442,166,481,936/309,879
  6. Step 6: Final answer
    x = 1,426,900.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.