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Finding the Third Proportional to 143,942,494.50 and 313,442,109

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Solution

The third proportional to 143,942,494.50 and 313,442,109 is: 682,536,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,942,494.50 : 313,442,109 = 313,442,109 : x
  2. Step 2: Convert to fraction form
    143,942,494.50/313,442,109 = 313,442,109/x
  3. Step 3: Cross multiply
    143,942,494.50x = 313,442,109 × 313,442,109
  4. Step 4: Simplify right side
    143,942,494.50x = 98,245,955,694,367,888
  5. Step 5: Solve for x
    x = 98,245,955,694,367,888/143,942,494.50
  6. Step 6: Final answer
    x = 682,536,147.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.