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Finding the Third Proportional to 300,115 and 640,406

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Solution

The third proportional to 300,115 and 640,406 is: 1,366,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,115 : 640,406 = 640,406 : x
  2. Step 2: Convert to fraction form
    300,115/640,406 = 640,406/x
  3. Step 3: Cross multiply
    300,115x = 640,406 × 640,406
  4. Step 4: Simplify right side
    300,115x = 410,119,844,836
  5. Step 5: Solve for x
    x = 410,119,844,836/300,115
  6. Step 6: Final answer
    x = 1,366,542.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.