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Finding the Third Proportional to 312,930 and 640,734

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Solution

The third proportional to 312,930 and 640,734 is: 1,311,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,930 : 640,734 = 640,734 : x
  2. Step 2: Convert to fraction form
    312,930/640,734 = 640,734/x
  3. Step 3: Cross multiply
    312,930x = 640,734 × 640,734
  4. Step 4: Simplify right side
    312,930x = 410,540,058,756
  5. Step 5: Solve for x
    x = 410,540,058,756/312,930
  6. Step 6: Final answer
    x = 1,311,922.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.