I see organizations that have a website and some social media presence, but little interaction between the two, so let's look at how websites and social media can interact:
Helping Users Share Your Sites Content on Social Media
If you have unique, interesting content, you'll want to make it easy for people to share it with their friends on social media sites like Facebook, Twitter, Google+, Pinterest, etc. Yes, people can copy the url of the page and paste it into their social media, but most people don't go to the trouble. Most sites, therefore, will add "share" buttons that can start the post of a link to the article to a social media site with a single click. Here's an example to see how it works. At the bottom of this article you'll see several such buttons, with the icons of several social media sites: Facebook, Twitter, and Google+. Click on one that you have an account on and you'll start the process of sharing a link to this page with others. This will post a link to this page on YOUR timeline. Go ahead and try it, please. How do you get buttons like these on your site? There are three or four outfits that make buttons like this. I'm using the set from AddToAny.com.