Question

Alcatuiti 4 proportii avand ca mezi nr 3 si 5

Answer 1

Numim proportie orice egalitate de doua rapoarte, de forma a/b = c/d, unde 

a, d = extremi 

b, c = mezi 

a/3 = 5/d ⇒ a × d = 3 × 5 = 15

a × d = 15 ⇒ 1 ×15;  5×3; 15 × 1; 3× 5 

Reconstituim proportiile: 

1/3 = 5/15, unde a= 1, d=15  ⇒ 1 × 15 = 3 × 5 

5/3 = 5/3, unde a = 5, d = 3  ⇒ 5 × 3 = 3×5
 
15/3 = 5/1; unde a = 15, d = 1 ⇒ 15 × 1 = 3 × 5

3/3 = 5/5; unde a = 3, d = 5  ⇒ 3 × 5 = 3 × 5