Abstract: Probabilities that are close for the (s, f) and (nth, f) fission reactions of the corresponding nuclei are estimated for the formation of third particles in the neck of a fissile nucleus. The probabilities are obtained using formulas for calculating the widths of spontaneous and thermal neutron-induced ternary fission of atomic nuclei with the emission of light charged particles. The formulas are based on an approach that views ternary fission as a virtual process, in combination with experimental energy distributions of α particles, hydrogen isotopes, and 6He nuclei in the ternary fission of actinide nuclei. It is shown that spontaneous and induced ternary fissions of actinide nuclei with the emission of light charged particles and nucleons occurs from close configurations of the fissile nucleus. The bonding energy of the thermal neutron introduced into the fissile compound nucleus in reactions (nth, f) is added to the energy of deformation the fissile nucleus but not to the kinetic energy of the third light particle. © Pleiades Publishing, Ltd. 2024. ISSN 1062-8738, Bulletin of the Russian Academy of Sciences: Physics, 2024, Vol. 88, No. 8, pp. 1306–1311. Pleiades Publishing, Ltd., 2024.