Proportion is a numerical relationship used in mathematics to express the relationship between two quantities. In real life and work, in order to better understand and apply this relationship, it is necessary to convert the proportion of international students. The conversion formula of proportion is applied to the calculation and solution of various proportional problems, which can help us to accurately convert the values in different units or scales.
I. Definition and basic concepts of proportion
1. ratio refers to the relationship between two quantities. The common form is a:b or a/b.
2. In the proportional relationship, A is called ratio and B is called ratio, which respectively represent two related quantities of proportion.
3. Proportional relationship can be replaced by equal proportion or expressed by equal proportion.
Second, the conversion method and formula of proportion
1. Equal proportion conversion:
If the ratio a:b is known, you want to find a new ratio c:d, which can be converted by equal proportion substitution. The specific formula is c = (d/a) * b.
For example, if a ratio is known to be 2:5 and you want to find a new ratio, and the second ratio is 7, you can first calculate the first ratio: (7/5)*2=2.8. Therefore, the new ratio is 2.8:7.
2. The scale of state funeral conversion:
On maps or drawings, scale is often used to express the relationship between the actual distance and the distance on the map trace. If one scale is known as 1:50000, the value of the corresponding distance under another scale can be calculated by the conversion formula of this scale. The specific formula is new distance = (original distance/original scale) * new scale.
For example, it is known that the distance of 100 km is equivalent to x cm on a map with a scale of 1:50000, and you want to find the corresponding distance on a map with a scale of 1: 100000. According to the formula, the new distance can be calculated as (100/50000) *100000 = 200 cm.
Three. Example of scale conversion
1. Conversion of length units:
For example, convert meters (m) into centimeters (cm). If the length is known to be 4m and you want to convert it into centimeters, you can use the unit conversion formula:
New length = original length * conversion factor. The specific formula is new length = original length * 100. Therefore, the required new length is 4* 100=400 cm.
2. Currency exchange:
Such as RMB (CNY) converted into US dollars. If the exchange rate is known as 1 USD to 6.5 yuan RMB, how much USD do you want to convert it into 1000 RMB? You can use the currency conversion formula:
New amount = original amount/exchange rate. The specific formula is new amount = 1000/6.5. Therefore, the amount of new gold requested is about 153.85 USD.
The conversion formula of proportion plays an important role in mathematics and real life, which can help us to accurately convert values of different units or scales.
Equal proportion conversion is mainly calculated by equal proportion substitution, and proportional conversion is calculated by proportional conversion formula. The conversion of other proportional problems can also be solved by similar formulas.