Ralph was born in Portland on December 15, 1928 to Cyril William and Ethel Adele Mitchell. His siblings included older sister, Grace Eva Mitchell, younger brother Bruce Allan Mitchell and stepbrother Harold James Barker.
He attended Irvington Elementary School and Grant High School, enlisting in the U.S. Marine Reserves in 1944. He graduated from Grant High School in 1947.
While in the reserves, Ralph attended the University of Oregon in Eugene with an interest in pursuing a degree in architecture, then completed his bachelor's degree in chemistry and physics at the University of Portland in 1953.
Ralph married Charlotte Nitta Cargni in Portland in May, 1952 and they had five children, John, Robert, Richard, Carla and Stephanie. They later divorced. Ralph married Florence Edna Edgar in Portland in June, 1983.
In 1961, Ralph was hired at the newly opened John Marshall High School in Southeast Portland. He later obtained his master's degree from the University of Portland and also taught night classes and summer school for many years.
An avid Duck fan since his days at the University of Oregon, Ralph and Florence had season tickets for Oregon football for many years and were among those early adopters who cheered the "Mighty Ducks" and witnessed the team develop from also-rans into champions.
Ralph and Florence ventured to many bowl games, including the Cotton Bowl, Independence Bowl, Holiday Bowl, Seattle Bowl, Fiesta Bowl and several Rose Bowls, including a big win over Russell Wilson and the Wisconsin Badgers in 2012 for their first Rose Bowl victory in 95 years.
Ralph is also survived by his grandchildren Regina, Jory, Nicole, Sarah, Jessica, Jason and Brandon; and a sister, Grace Eva Mitchell Freeland of Redwood City, California. Ralph was preceded in death by his parents, his brother Bruce and stepbrother Harold, and his granddaughter, Jacy.