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Finding the Third Proportional to 144,940,474.83 and 312,858,498.09

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Solution

The third proportional to 144,940,474.83 and 312,858,498.09 is: 675,314,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,940,474.83 : 312,858,498.09 = 312,858,498.09 : x
  2. Step 2: Convert to fraction form
    144,940,474.83/312,858,498.09 = 312,858,498.09/x
  3. Step 3: Cross multiply
    144,940,474.83x = 312,858,498.09 × 312,858,498.09
  4. Step 4: Simplify right side
    144,940,474.83x = 97,880,439,829,476,976
  5. Step 5: Solve for x
    x = 97,880,439,829,476,976/144,940,474.83
  6. Step 6: Final answer
    x = 675,314,745.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.