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Finding the Third Proportional to 68,451,041,592 and 146,322,340,728

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Solution

The third proportional to 68,451,041,592 and 146,322,340,728 is: 312,781,615,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,451,041,592 : 146,322,340,728 = 146,322,340,728 : x
  2. Step 2: Convert to fraction form
    68,451,041,592/146,322,340,728 = 146,322,340,728/x
  3. Step 3: Cross multiply
    68,451,041,592x = 146,322,340,728 × 146,322,340,728
  4. Step 4: Simplify right side
    68,451,041,592x = 21,410,227,396,120,928,059,392
  5. Step 5: Solve for x
    x = 21,410,227,396,120,928,059,392/68,451,041,592
  6. Step 6: Final answer
    x = 312,781,615,855.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.