ENTJ + INTP

These two share the same preferences for being i(N)tuitive (T)hinkers, otherwise known as "the Rationals".  You tend to have a deep intellectual respect for each other, enjoy the same type of humor, and tend to have similar political views.

The ENTJ will take charge of the social activity, which is simply fine with the preoccupied INTP. The INTP is usually compliant and willing enough to allow the ENTJ to be "top-dog" in household affairs. 

The ENTJ, expecting a lot from their partner, may often be disappointed by the somewhat forgetful INTP – who as well has some difficulty expressing emotions to his/her (E)xtroverted mate.

Overall, they have a similar understanding of the world and its possibilities. Neither are prone to emotional outbursts, preferring to think things through. This match is worth pursuing. 

Positives of an INTP-ENTJ Relationship:

Intellectual Stimulation: Both types enjoy intellectual discussions, logical analysis and have a deep curiosity for learning and exploring new concepts. They can stimulate each other's thinking and offer different perspectives.

Action and Theoretical Balance: While ENTJs are more focused on taking action and implementing ideas, INTPs are more inclined towards introspection and theoretical analysis. They can balance each other out by providing practicality and deeper understanding in tandem.

Mutual Independence: Both INTPs and ENTJs value their independence and can respect each other's need for personal space and autonomy.

Challenges of an INTP-ENTJ Relationship:

Emotional Expressiveness: ENTJs are often more straightforward and assertive, while INTPs are typically more reserved and might struggle with expressing their feelings. This can sometimes lead to misunderstandings.

Planning vs. Spontaneity: ENTJs tend to be proactive and appreciate structure and planning, while INTPs might enjoy more flexibility and spontaneity. Aligning their approaches to plans and decision-making can be a challenge.

Different Social Needs: ENTJs are typically more outgoing and enjoy a more extensive social life, while INTPs are introverted and may need more private time. This difference can lead to tension if not addressed.

To make a relationship between an INTP and an ENTJ work, both parties will need to communicate openly, understand each other's needs and preferences, and be willing to compromise when necessary. Remember, all individuals and relationships are unique, and personality type is just one factor among many that influence a relationship.