Final answer:
To find the value of x and y, set up a proportion using the given ratios. Cross multiply and solve for x and y. Substitute the expression for x into the other given ratio to solve for y. Finally, plug the value of y back into the expression for x to find its value.
Step-by-step explanation:
To find the value of x and y, we can first set up a proportion using the given ratios.
Since x is in a 1:3 ratio with 3 and y is in a 1:3 ratio with 92, we can write the proportion as:
x/3 = y/92
Then, we can cross multiply and solve for x and y:
92x = 3y
x = 3y/92
Now we can substitute this expression for x into the other given ratio, which is:
154/412 = x/3
Substituting x = 3y/92, we get:
154/412 = (3y/92)/3
Now we can solve for y:
154/412 = y/92
Cross multiplying gives:
92y = 154 * 412
y = (154 * 412)/92
Now we can plug this value of y back into the expression for x, which gives:
x = 3 * [(154 * 412)/92]/92
Simplifying this expression will give us the value of x.