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Finding the Third Proportional to 300,873 and 640,734

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Solution

The third proportional to 300,873 and 640,734 is: 1,364,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,873 : 640,734 = 640,734 : x
  2. Step 2: Convert to fraction form
    300,873/640,734 = 640,734/x
  3. Step 3: Cross multiply
    300,873x = 640,734 × 640,734
  4. Step 4: Simplify right side
    300,873x = 410,540,058,756
  5. Step 5: Solve for x
    x = 410,540,058,756/300,873
  6. Step 6: Final answer
    x = 1,364,496.18

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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.