The phrase "to project the future" means to make predictions or estimate what will happen in the future based on available information or assumptions. Full definition
It describes progress in understanding of the human and natural drivers of climate change, observed climate change, climate processes and attribution, and estimates of projected future climate change. (uncclearn.org)
The certified medical assistant field has plenty of projected future growth. (medicalassistanttips.com)
If the model represents what actually occurred, we can expect the model will be reasonably reliable in projecting future change. (realitydrop.org)