I should first explain that extracting the pattern from one photograph of a tie and painting it seamlessly onto another photo of a tie that's in a different position, is a very difficult task.
Even an experienced designer would probably not attempt this in the way you're suggesting. If anything, they'd probably redraw a template tie, then redraw each pattern flat, and apply it to the template.
Instead, as a quick and dirty fix for basic mockups, I'm suggesting a way for you to change the colour of the patterned ties to match the pink of the tie you want to overlay the patterns on.
Open the image you want to take the colour from in Photoshop.
Use the Eyedropper tool to select a good pink from the source image.
Paste the image you want to modify into the document. (It's the same size as the first image, so it's easy-squeezy in this case.)
Create a new Solid Color.. layer.
Change the blend mode to either Screen, Hard Light, Linear Light or Color, depending on which one is closest to what you want. It will look slightly different if you change the source colour, and you may find that a different blend mode suits you better.
Screen Blend Mode:
Hard Light Blend Mode:
Linear Light Blend Mode:
Color Blend Mode: