What is the third proportional to 16 and 36

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Ratio and Proportion

1. If a:b=c:d
Then ab=cd
2. If a:b=s:t and b:c=u:v
Then, a:b:c = su:tu:tv 3. Third proportion:

If c is the third proportion of a and b, then

a:b=b:c
ab=bc
b2=ac 4. Mean proportion:

If b is the mean proportion of a and c, then

b2=ac 4. Componendo and Dividendo rule

If ab=cd, then, a+ba-b=c+dc-d

Partnership

1. If A and B contributed ₹X and ₹Y respectively for one year in business, then their profit or loss at that time will be:

A’s profit (or misfortune) : B’s profit (or misfortune) =X:Y

2. In compound partnership, the money is invested for different periods of time by different persons. The profit-sharing proportion is ascertained by duplicating the capital contributed with the unit of time (generally months).

Formula:
P1:P2=C1×T1:C2×T2
P1= Partner 1’s Profit.
C1= Partner 1’s Capital.
T1= Time period for which Partner 1 contributed his capital.
P2= Partner 2’s Profit.
C2= Partner 2’s Capital.
T2= Time period for which Partner 2 contributed his capital.

For example: Suppose X invests Rs.x for m months and Y invests Rs.y for n months then,
(X’s share of profit) : (Y’s share of profit)=xm:yn.

Speed, Time and Distance
1. Distance = Speed × Time Speed, Time and Distance 2. Changing km/h into m/sec

a km/h = a × 518 m/sec

3. Changing m/sec into km/h

a m/sec = a × 185 km/h

4. A vehicle covers a particular distance at a speed 'x' km per hour and comes back to its original position at a speed of 'y' km per hour. (Both the distances must be same.)
Then the average speed for the total distance covered =2xyx+y km/hour

When two objectives are moving towards each other, relative speeds will be the sum of the speeds and when two objectives are moving in opposite directions, relative speeds will be the difference of the speeds.

Boat and Stream
The speed of boat in downstream = Speed of the boat in still water + Speed of the stream
The speed of boat in upstream = Speed of the boat in still water – Speed of the stream

Time and Work
Total work units = Number of days × Number of units completed per day
M1D1E1W1=M2D2E2W2, where M is Number of man, D is Number of days, E is Efficiency and W is Unit of work.

Pipe and Cistern
If a pipe can fill a tank in m hours, then the part filled in 1 hour =1 m
If a pipe can empty a tank in n hours, then the part of the full tank emptied in 1 hour = 1 n

If a pipe can fill a tank in m hours and the another pipe can empty the full tank in n hours, then the net part filled in 1 hour, when both the pipes are opened =1m-1n
∴ Time taken to fill the tank, when both the pipes are opened =mnn-m hours

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Kokila said: (Sat, Mar 12, 2016 10:54:31 AM IST)

Answer:The third proportional to 16 and 36 is 81.Solution:If C is the third proportional to A and B, then A/B = B/C If x is the third proportional to 16 and 36, then 16/36 = 36/x => 4/9 = 36/x=> x = 36 * 9/4=> x = 9 * 9 => x = 81