Beechcraft pilot reported a near midair collision during initial climb.

Attributes
ACN	1574588
Time
Date	201809
Local Time Of Day	1201-1800
Place
Locale Reference	S46.TRACON
State Reference	WA
Environment
Flight Conditions	VMC
Light	Daylight
Aircraft 1
Make Model Name	Travelair 95
Operating Under FAR Part	Part 91
Flight Phase	Initial Climb
Route In Use	Direct
Flight Plan	VFR
Aircraft 2
Make Model Name	Any Unknown or Unlisted Aircraft Manufacturer
Person 1
Function	Single Pilot
Qualification	Flight Crew Multiengine Flight Crew Private
Experience	Flight Crew Last 90 Days 81 Flight Crew Total 219 Flight Crew Type 94
Events
Anomaly	ATC Issue All Types Conflict NMAC
Miss Distance	Horizontal 500 Vertical 0

Narrative:

We took off and we started our climb out and turned to depart to the east. I contacted approach to get flight following; they responded unable. A minute or two later at we were at 2000 feet heading east when I saw another aircraft heading from the south to north on a colliding path. They were less than 500 feet away. I had to make a steep climbing right turn to avoid a collision. It appeared that they did not see us because they made no attempt to maneuver to avoid a collision. It sounded like the other aircraft was already talking to approach. Approach wasn't able to give us flight following and did not warn the other aircraft about us; they didn't attempt to turn them to avoid the conflict. We were 1000 feet below the class B airspace and only 2000 feet off the ground. I don't believe there was any violations on my part.

Original NASA ASRS Text

Title: Beechcraft pilot reported a near midair collision during initial climb.

Narrative: We took off and we started our climb out and turned to depart to the east. I contacted Approach to get flight following; they responded unable. A minute or two later at we were at 2000 feet heading east when I saw another aircraft heading from the south to north on a colliding path. They were less than 500 feet away. I had to make a steep climbing right turn to avoid a collision. It appeared that they did not see us because they made no attempt to maneuver to avoid a collision. It sounded like the other aircraft was already talking to Approach. Approach wasn't able to give us flight following and did not warn the other aircraft about us; they didn't attempt to turn them to avoid the conflict. We were 1000 feet below the Class B airspace and only 2000 feet off the ground. I don't believe there was any violations on my part.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.