Maybe this is a task for the Zip method. Something like
names.Zip(numbers, (name, number) => new { name, number, })
will "zip" the two sequences into one. From there you can either order the sequence immediately, like
.OrderBy(a => a.number)
or you can instead create a Dictionary<,>, like
.ToDictionary(a => a.number, a => a.name)
But it sounds like what you really want is a SortedDictionary<,>, not a Dictionary<,> which is organized by hash codes. There's no LINQ method for creating a sorted dictionary, but just say
var sorted = new SortedDictionary<int, string>();
foreach (var a in zipResultSequence)
sorted.Add(a.number, a.name);
Or alternatively, with a SortedDictionary<,>, skip Linq entirely, an go like:
var sorted = new SortedDictionary<int, string>();
for (int idx = 0; idx < numbers.Count; ++idx) // supposing the two list have same Count
sorted.Add(numbers[idx], names[idx]);
Dictionary<int,string>instead.Dictionary<,>will not be sorted by keys (it uses hash codes). It sounds like aSortedDictionary<int, string>orSortedList<int, string>even more. I supplied an answer describing how to convert two lists into that.