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Finding the Third Proportional to 278,794 and 603,668

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Solution

The third proportional to 278,794 and 603,668 is: 1,307,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,794 : 603,668 = 603,668 : x
  2. Step 2: Convert to fraction form
    278,794/603,668 = 603,668/x
  3. Step 3: Cross multiply
    278,794x = 603,668 × 603,668
  4. Step 4: Simplify right side
    278,794x = 364,415,054,224
  5. Step 5: Solve for x
    x = 364,415,054,224/278,794
  6. Step 6: Final answer
    x = 1,307,112.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.