Child -> parent conversion issue

gistfile1.txt

using System;

namespace AutoMapper_Sample
{
    class Program
    {
        abstract class DTOParent
        {
        }

        class Sample : DTOParent
        {
            public int ID { get; set; }
        }

        class SampleChild : Sample
        {
            public string Name { get; set; }
        }

        static void Main(string[] args)
        {
            var child = new SampleChild()
            {
                ID = 1,
                Name = "Sample"
            };
            //Bad type - "SampleChild" instead of "Sample"
            var sample_new2 = ConvertDTOType_new2(typeof(SampleChild), typeof(Sample), child);
        }

        private static AutoMapper.IMapper mapper = new AutoMapper.MapperConfiguration(cfg => {
            cfg.CreateMap<SampleChild, Sample>();
            cfg.CreateMissingTypeMaps = true;
        }).CreateMapper();

        static DTOParent ConvertDTOType_new2(Type fromType, Type toType, DTOParent convertableDTO)
        {
            return (DTOParent)mapper.Map(convertableDTO, fromType, toType);
        }
    }
}