Looking at the question are Libra and Virgo compatible? I will say Libra and Virgo match can be akin to putting two puzzle pieces together if the relationship moves sufficiently smooth.
Here, each partner is capable of locking into the other to sit comfortably in place.
Both Signs seek security in a union and they do share a mutual love of beauty and culture. It is possible for this pair to work together efficiently because they desire similar rewards.