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Finding the Third Proportional to 300,795 and 668,838

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Solution

The third proportional to 300,795 and 668,838 is: 1,487,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,795 : 668,838 = 668,838 : x
  2. Step 2: Convert to fraction form
    300,795/668,838 = 668,838/x
  3. Step 3: Cross multiply
    300,795x = 668,838 × 668,838
  4. Step 4: Simplify right side
    300,795x = 447,344,270,244
  5. Step 5: Solve for x
    x = 447,344,270,244/300,795
  6. Step 6: Final answer
    x = 1,487,206.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.