WASHINGTON — Mortgage giant Freddie Mac earned $2.9 billion from July through September, its fourth-straight profitable quarter. The government-controlled company attributed the gain to rising home prices and fewer mortgage delinquencies.

Freddie Mac, the Federal Home Loan Mortgage Corp., said Tuesday that it paid a dividend of $1.8 billion to the U.S. Treasury and requested no additional federal aid.

The increase compared with a loss of $4.4 billion for the same quarter of 2011. It also marked the sixth quarter in which Freddie Mac soughtno additional aid since being taken over by the government in September 2008.

The gain “was driven by favorable market conditions, including the continued improvement in the housing market,” Freddie Mac Chief Executive Officer Donald Layton said in a statement.

The government rescued Freddie Mac and larger sibling Fannie Mae, the Federal National Mortgage Association, during the 2008 financial crisis after both incurred losses on risky mortgages. Taxpayers have spent about $170 billion to rescue them, the costliest bailout of the 2008 financial crisis.

Under a federal policy announced last summer, Fannie Mae and Freddie Mac have to turn over all profits they earn every quarter to the government. The change was made to ensure the companies pay the government back.

Freddie Mac requested no government aid in the second quarter, after asking for $19 million in the first quarter. The company received $7.6 billion for all of 2011 and $13 billion for all of 2010.

Fannie Mae and Freddie Mac are required to pay 10 percent dividends on the government money they receive.

Freddie Mac, based in McLean, Va., has paid more to the government in dividends than it has taken in aid over thepast seven quarters, the company said.

Freddie Mac and Washington-based Fannie Mae own or guarantee about half of all U.S. mortgages, or nearly 31 million home loans. Those loans are worth more than $5 trillion. Along with other federal agencies, they backed nearly 90 percent of new mortgages over the past year.

The housing market is starting to recover more than five years after the bubble burst. Home sales are up from a year ago, helped by a limited supply and record-low mortgage rates. Builders are more confident and have started to construct more homes. And home prices are showing consistent gains.

Business, Pages 24 on 11/07/2012