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Finding the Third Proportional to 329,071,135,612 and 667,395,002,208

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Solution

The third proportional to 329,071,135,612 and 667,395,002,208 is: 1,353,555,632,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,071,135,612 : 667,395,002,208 = 667,395,002,208 : x
  2. Step 2: Convert to fraction form
    329,071,135,612/667,395,002,208 = 667,395,002,208/x
  3. Step 3: Cross multiply
    329,071,135,612x = 667,395,002,208 × 667,395,002,208
  4. Step 4: Simplify right side
    329,071,135,612x = 445,416,088,972,216,332,451,840
  5. Step 5: Solve for x
    x = 445,416,088,972,216,332,451,840/329,071,135,612
  6. Step 6: Final answer
    x = 1,353,555,632,109.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.