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Finding the Third Proportional to 139,533,437,162 and 306,080,848,444

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Solution

The third proportional to 139,533,437,162 and 306,080,848,444 is: 671,419,608,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,533,437,162 : 306,080,848,444 = 306,080,848,444 : x
  2. Step 2: Convert to fraction form
    139,533,437,162/306,080,848,444 = 306,080,848,444/x
  3. Step 3: Cross multiply
    139,533,437,162x = 306,080,848,444 × 306,080,848,444
  4. Step 4: Simplify right side
    139,533,437,162x = 93,685,485,784,198,889,340,928
  5. Step 5: Solve for x
    x = 93,685,485,784,198,889,340,928/139,533,437,162
  6. Step 6: Final answer
    x = 671,419,608,730.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.