Step 1: Read cross III:
Cross III gives 250 tall plants and 250 dwarf plants.
The ratio is 1 : 1, with tall and dwarf plants in equal numbers.
Step 2: Identify the cross:
A 1 : 1 ratio comes only from Tt x tt. One parent is a heterozygous tall plant and the other is a homozygous dwarf plant.
Crossing a tall plant of unknown genotype with the homozygous recessive dwarf plant is a test cross.
Step 3: Explain the importance:
The test cross finds the genotype of an individual that shows the dominant phenotype. Tall plants may be TT or Tt, and their looks cannot tell them apart.
If all offspring are tall, the tested plant was homozygous (TT). If tall and dwarf appear in a 1 : 1 ratio, it was heterozygous (Tt), as in cross III.
The test cross is also used to find whether two genes are linked, and to confirm Mendel's laws.
Final Answer:
Cross III is a test cross (Tt x tt). Its importance is that it reveals whether an organism of dominant phenotype is homozygous or heterozygous.