Source : Webster's Revised Unabridged Dictionary (1913)

Providential \Prov`i*den"tial\, a. [Cf. F. providentiel.]
   Effected by, or referable to, divine direction or
   superintendence; as, the providential contrivance of thing; a
   providential escape. -- {Prov"i*den"tial*ly}, adv.

Source : WordNet®

providential
     adj 1: peculiarly fortunate or appropriate; as if by divine
            intervention; "a heaven-sent rain saved the crops"; "a
            providential recovery" [syn: {heaven-sent}, {miraculous}]
     2: relating to or characteristic of providence; "assumption
        that nature operates only according to a providential
        plan"- M.R.Cohen
     3: resulting from divine providence; "providential care"; "a
        providential visitation" [syn: {divine}]