Search Results: have a girlfriend but like someone else

I recently met a man on a dating app, and things were going great with him initially. Within the last week, he went utterly radio silent in communicating with me (even through text). I confronted him about it a couple of days before our 3rd date, and he disclosed how he had a situation with someone else he was seeing (we weren't exclusive) where it affected him so severely that he didn't have it in him to talk to anyone for that long. I thought that was weird since, on the 2nd date, he disclosed that he liked me and only needed a few more dates before asking me to be his official girlfriend. I didn't see a point in him speaking to other women either since our goal of dating is marriage, and we have similar goals.

I met with him today for our 3rd date, and the date was okay. We weren't as expressive as we were during our 2nd date, but we had good conversations. I asked him about his intentions with me since I was confused about the other situation, and he told me that we were on dates and would see if he wanted me to be his girlfriend. He asked if I told my family about him, which I said not really since he and I aren't in a relationship. Then, he disclosed that he showed a picture of me to his family and told them about me, and they said, "She's a pretty lady."

I don't know what this means at all. I don't know if that's a good sign that he likes me and will ask me to be his girlfriend soon or not. I know he has a good relationship with his family, so I think they might've asked if he found someone, and that's why he showed me, but I'm just assuming. We haven't had sex or even kissed throughout our dates, but that's boundaries we set up to ensure that we are genuinely compatible besides that aspect for now. What do you think?