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Finding the Third Proportional to 455,007 and 979,782

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Solution

The third proportional to 455,007 and 979,782 is: 2,109,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,007 : 979,782 = 979,782 : x
  2. Step 2: Convert to fraction form
    455,007/979,782 = 979,782/x
  3. Step 3: Cross multiply
    455,007x = 979,782 × 979,782
  4. Step 4: Simplify right side
    455,007x = 959,972,767,524
  5. Step 5: Solve for x
    x = 959,972,767,524/455,007
  6. Step 6: Final answer
    x = 2,109,797.80

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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.