You can have more than one organization added to Productive. If you want to add another organization to your account please go to the page: https://app.productive.io/launchpad.
Click on the button at the bottom: +Create a new organization.
There are a few basic things you need to know about having multiple organizations in your account:
Every organization is an entity for itself. Organizations are completely separated and have their own set of users, deals, projects, etc. You don't have a single point of access to all the deals or projects across all organizations. You're looking at everything separately for each organization.
You can have different roles in each organization which means that you can be an Admin in one organization and Staff in the other.
Every organization has its own billing and its own settings.
To switch between organizations, hover over the "Home" icon and choose the organization you want to switch to.