I would like to place the following on the same page:
- A double column figure
- A single column figure
- A single column table
I want the placement to look something like this:

I would like to place the following on the same page:
I want the placement to look something like this:

You can set a multitude of things inside a floating environment. Below I've created a single figure* floating environment for capturing the wide (two-column) figure. However, just below it (inside the same float), I've set a table and another figure inside minipages, making it seem like they are separate and columnar.

\documentclass[twocolumn]{article}
\usepackage{lipsum,capt-of,graphicx}% http://ctan.org/pkg/{lipsum,capt-of,graphicx}
\usepackage[margin=1in]{geometry}% Just for this example
\begin{document}
\lipsum[1-7]
\begin{figure*}
\centering\includegraphics[width=.7\linewidth,height=2in]{example-image-a}\par
\caption{This is a figure caption}
\vspace*{\floatsep}
\begin{minipage}{.5\linewidth}
\centering\begin{tabular}{ccc}
\hline
One & Two & Three \\
Three & One & Two \\
Two & Three & One \\
\hline
\end{tabular}
\captionof{table}{This is a table caption}
\end{minipage}%
\begin{minipage}{.5\linewidth}
\centering\includegraphics[width=.6\linewidth]{example-image-b}
\captionof{figure}{This is a figure caption}
\end{minipage}
\end{figure*}%
\lipsum[8-14]
\end{document}
The placement of the figures will always be on top and on the page following the placement within your document text. capt-of helps out with the placement of float-like captions.
afterpageandgeometryaren't needed. The former was from something else I tried, and the latter was just for this example (since I don't have your images/sizes). You also don't needlipsum. – Werner Sep 09 '13 at 02:32minipages together. And you actually need the%to avoid an overfull\hbox. See What is the use of percent signs (%) at the end of lines? – Werner Sep 09 '13 at 02:33twocolumnmode; they don't appear on the page you use them. I mention this at the end of my post: "The placement of the figures will always be on the top and on the page following the placement within your document text." – Werner May 05 '15 at 17:41