Overlapping profile picture in the middle - html

Question

Currently i have the following Header(Template from Bootstrap for Responsive Purposes):-
But it's not very nice to have a such big navigation pane, so now i want to place the Profile Picture in the middle of the Border like this(The circle should be the profile picture):-
The question is, how can I achieve this without using a absolute position which would ruin my responsive design? (It should be a proportion of 50/50)
Edit: The HTML Code for the Profile Picture is:-
<div id="nav_profile">
<div class="profile_picture">
<img src="assets/img/profilepicture.png" alt="Profile Picture">
<figcaption><i class="ion-android-add"></i></figcaption>
<a id="profile_hover_txt" href="profile.php">View Profile</a>
</div>
</div>
The CSS Part is just for the transitions and the styling for the Picture.

Answer 1

Try The Following Code....
<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet"/>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js"></script>
<nav class="navbar navbar-default">
<div class="container">
<div class="navbar-header">
<button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar-collapse-1">
<span class="sr-only">Toggle navigation</span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
</button>
<a class="navbar-brand brand" href="#">Custom Logo</a>
</div>
<!-- Collect the nav links, forms, and other content for toggling -->
<div class="collapse navbar-collapse" id="navbar-collapse-1">
<ul class="nav navbar-nav navbar-left">
<li>Home</li>
<li>About</li>
<li>Services</li>
<li>Works</li>
<li>News</li>
<li>Contact</li>
</ul>
<ul class="nav navbar-nav navbar-right">
<li> <img width="50px" height="50px" class="img-circle" src="http://i.imgur.com/bQ6Rroe.jpg" alt=""></li>
</ul>
</div>
<!-- /.navbar-collapse -->
</div>
</nav>

Answer 2

You can simply set the height of the picture to 200%. The float: right; and width: 100px; are just in my code so it works without an image but the principal works without them.
#menu {
width: 100%;
height: 50px;
background: #000000;
}
#pic {
float: right;
width: 100px;
height: 200%;
background: yellow;
}
<div id="menu">
<div id="pic"></div>
</div>