Percentage Increase and Dates

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Suppose we have the following data:

               begin date     end date   quantity
                 10/01/13      01/06/14      5
                 01/07/14      01/01/2015    7.5
                 01/02/2015    07/03/2015    10.67

The average difference between end dates is about 0.5 years. I want to project the future quantities using the average difference between end dates. I have something like the following:

                  begin date     end date   quantity
                 10/01/13      01/06/14      5
                 01/07/14      01/01/2015    7.5
                 01/02/2015    07/03/2015    10.67
                 07/04/2015    01/02/2016 
                 01/03/2016    07/03/2016       
                 07/04/2016    01/02/2017 
                 01/03/2017    07/04/2017

The end dates were determined by adding 0.745 years (~182 days) to the start dates. Is there any good way of getting the four future projections for quantity?

Could I look at the percentage increase in quantity based on end dates:

$$ \frac{\frac{7.5-5}{5}}{\text{time between 01/06/14 and 01/01/2015}}$$ $$ \vdots $$

and somehow apply that?