I will respectfully disagree with FriendRob on this one.
The question (as I understand it) is “Is there any Biblical significance or backing to the story that 1/3 of the angels in heaven were thrown out along with Satan/Lucifer”?
Yes, there is. I will attempt to explain something that should take a long time here in this forum (grossly abbreviated).
Satan was a created being. “Thou hast been in Eden the garden of God;” (Ezek. 28:13). Only Adam, Eve, God, and the serpent, who is identified as Satan were in the garden of Eden in the beginning of time. Ezekiel 28:13 shows this being “wast created.” V. 14, “Thou art the anointed cherub that covereth;” Now notice the next verse, 15. “Thou was perfect in thy ways from the day that thou was created, till INIQUITY was found in thee.” V. 16, “…and thou hast sinned: therefore I will cast thee as profane out of the mountain of God: and I will DESTROY thee…” This being fell because of sin.
Let’s compare Ezek. 28 to Isa. 14. “How art thou fallen from heaven, O Lucifer,…how art thou CUT DOWN to the ground, which didst WEAKEN the nations! For thou hast said in thine heart, I will ascend into heaven, I will exalt my throne above the stars of God: I will sit also upon the mount of the congregation, in the sides of the north: I will ASCEND above the heights of the clouds: I will be like the most High” (Isa. 14:12-14). These two accounts show that Lucifer, a cherub angel, assaulted God’s throne. He sinned against God. Notice what Jesus, who was there, said. “…I beheld Satan as lightning FALL from heaven” (Lk. 10:18).
So, now you ask, “Where does the 1/3 number come into play?” Here is the answer. The mention of the 1/3 number is directly from Revelation chapter 12.
12:1
Then a great sign appeared in heaven: a woman clothed with the sun, and with the moon under her feet, and on her head was a crown of twelve stars.
12:2 She was pregnant and was screaming in labor pains, struggling to give birth.
12:3 Then another sign appeared in heaven: a huge red dragon that had seven heads and ten horns, and on its heads were seven diadem crowns.
12:4 Now the dragon’s tail swept away a third of the stars in heaven and hurled them to the earth.
“Stars” is a symbolic reference to angels in this passage, and was never taken literally by the original writer or readers of this passage. 1/3 of the created angels chose to rebel against God along with Satan and were thusly cast from Heaven to rule the earth.
Hope this clears up your question.