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Finding the Third Proportional to 199,970,508 and 311,647,122

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Solution

The third proportional to 199,970,508 and 311,647,122 is: 485,691,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,970,508 : 311,647,122 = 311,647,122 : x
  2. Step 2: Convert to fraction form
    199,970,508/311,647,122 = 311,647,122/x
  3. Step 3: Cross multiply
    199,970,508x = 311,647,122 × 311,647,122
  4. Step 4: Simplify right side
    199,970,508x = 97,123,928,650,882,880
  5. Step 5: Solve for x
    x = 97,123,928,650,882,880/199,970,508
  6. Step 6: Final answer
    x = 485,691,263.29

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.