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Cross Products Property
Slide 1 of 0
←
Using Ratios and Solving Proportions
Rule
Cross Products Property
In a
proportion
, the
product
of the extremes is equal to the product of the means.
b
a
=
d
c
⇒
a
d
=
b
c
This property is also known as
cross-multiplication
or
Means-Extremes Property of Proportion
.
Proof
Cross Products Property
The Cross Products Property can be proven by using the
Properties of Equality
.
b
a
=
d
c
MultEqn
LHS
⋅
b
=
RHS
⋅
b
a
=
d
c
⋅
b
MoveRightFacToNum
c
a
⋅
b
=
c
a
⋅
b
a
=
d
c
b
MultEqn
LHS
⋅
d
=
RHS
⋅
d
a
d
=
c
b
CommutativePropMult
Commutative Property of Multiplication
a
d
=
b
c
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