diff --git a/ext/ReactiveMPProjectionExt/ReactiveMPProjectionExt.jl b/ext/ReactiveMPProjectionExt/ReactiveMPProjectionExt.jl
index 42d2895c5..260929a00 100644
--- a/ext/ReactiveMPProjectionExt/ReactiveMPProjectionExt.jl
+++ b/ext/ReactiveMPProjectionExt/ReactiveMPProjectionExt.jl
@@ -33,6 +33,9 @@ function BayesBase.prod(::GenericProd, division::DivisionOf, something)
     end
 end
 
+BayesBase.prod(::GenericProd, division::DivisionOf, ::Missing) = division
+BayesBase.prod(::GenericProd, ::Missing, division::DivisionOf) = division
+
 function BayesBase.prod(::GenericProd, productof::ProductOf, divisionof::DivisionOf) 
     return ProductOf(productof, divisionof)
 end
diff --git a/test/ext/ReactiveMPProjectionExt/ReactiveMPProjectionExt_tests.jl b/test/ext/ReactiveMPProjectionExt/ReactiveMPProjectionExt_tests.jl
index 984525247..d04bc2fb6 100644
--- a/test/ext/ReactiveMPProjectionExt/ReactiveMPProjectionExt_tests.jl
+++ b/test/ext/ReactiveMPProjectionExt/ReactiveMPProjectionExt_tests.jl
@@ -11,4 +11,6 @@
 
     @test d1 ≈ prod(GenericProd(), ext.DivisionOf(d1, d2), d2)
     @test d1 ≈ prod(GenericProd(), d2, ext.DivisionOf(d1, d2))
+    @test ext.DivisionOf(d1, d2) == prod(GenericProd(), ext.DivisionOf(d1, d2), missing)
+    @test ext.DivisionOf(d1, d2) == prod(GenericProd(), missing, ext.DivisionOf(d1, d2))
 end