Queensland (Australia) is 3.7 times larger than Papua New Guinea.
Area: 462,840 km2 World Factbook
Population: 6,552,730 (July 2014) World Factbook
Papua New Guinea, officially the Independent State of Papua New Guinea, is an Oceanian country that occupies the eastern half of the island of New Guinea and its offshore islands in Melanesia, a region of the southwestern Pacific Ocean north of Australia. Wikipedia
Queensland is the second-largest and third-most populous state in Australia. Situated in the north-east of the country, it is bordered by the Northern Territory, South Australia and New South Wales to the west, south-west and south respectively. Wikipedia