Boeing Co., the Seattle-based aviation and aerospace giant, said its profits soared in the second quarter and predicted that its sales for the year will total about $13.5 billion.

In other earnings reports yesterday, Texaco Inc. said its second-quarter profit inched up 1 percent from a year earlier and Texas Air Corp., parent company of Continental Airlines and New York Air, said its consolidated net income of $41 million for the second quarter of 1985 compared with $13.4 million for the same period of 1984.

*Boeing Co. said its profits for the three-month period ending June 30 totaled $136 million, up from the $102 million it earned in the 1984 second quarter.

Boeing said its sales in the second quarter totaled $3.8 billion, against $2.7 billion a year ago.

*Texaco Inc., the nation's third-largest oil company based on annual revenue, said second-quarter net income rose to $305 million ($1.28 a share), from $302 million ($1.22) a year earlier. Revenue fell to $11.7 billion from $13 billion.

Texaco, based in White Plains, N.Y., said profit for the first half of 1985 edged up to $625 million ($2.56) from $623 million ($2.47) a year earlier. Six-month revenue was unchanged at $23.7 billion.

*Texas Air Corp. said its second-quarter income amounted to $2.69 a share, compared with 77 cents a share for the second quarter of the previous year.

Texas Air's consolidated second-quarter results include the $35.4 million profit recorded by Continental and the $4.6 million profit of New York Air.

Revenue for the quarter was $495.1 million, compared with $330.6 million in the year-earlier quarter.

For the six months ended June 30, Texas Air reported consolidated net income of $53.7 million ($3.41 per share), compared with net income of $8.8 million (26 cents) for the same period of last year.

Revenue for the half totaled $906.5 million, compared with $586.3 million in the year-ago half.

Texas Air is a Houston-based holding company.