...therefore 'R=qh=qna'=nq.a * and from the definition of proportion, T)=nq.c=q.nc=qC. PROP. Vl. THEOR. If four numbers be proportional, the product of the extremes is equal to that of the means; and of two equal products, the factors are convertible into an analogy, of which...

...Having thus prepared the terms for a solution, multiply the second and third together, nnd divide the product by the first, the quotient will be the answer in the same denomination the middle term was reduced to. If any remain, reduce it to the next lower denomination, and divide...

...thereof: then multiply the second and third terms together, and divide the product by the first term : the quotient will be the answer in the same denomination as the third term. PROOF. Invert the question, making the answer the second term, as in the following wrought...

...Three Direct. 2. Multiply the first and second terms together^ and divide the product by the third ; the quotient will be the Answer in the same denomination as the middle term was reduced into. \ ' EXAMPLE8. 1. If 12 men can build a wall in 20 days, how many wen...

...B=yA:= (V. 2.) nq.a, and, from the definition of proportion, D nq.c=. (V. 2.) q.nc=qC. PROP. VI. THEOR. If four numbers be proportional, the product of the extremes is equal to that of the means j and of two equal products, the factors are convertible into an analogy, of which...

...Three Direct. 2. Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into. EXAMPLES. 1. If 12 men can build a wall in 20 days, how many men can...

...into each other ; then divide the product of the consequents by the product of the antecedents, and the quotient will be the answer, in the same denomination as the last consequent. It may be of use to remark, that, if the antecedents and consequents are properly...

...and that product by the rate per cent, for a dividend : let this dividend be divided by 36500 *, and the quotient will be the answer in the same denomination as the principal was reduced to. Note. If the interest of a sum of money be required for any number of weeks,...

...product by the middle term; divide the last product by the product of the terms in the first place, and the quotient will be the answer, in the same denomination as the middle term. EXAMPLE. If 6 men in 8 days eat 10lb. of bread, how much will 12 men eat in 24 days? 6...

...— Then, Multiply the second and third terms together ; divide the product by the first term, and the quotient will be the answer in the same denomination as the second number; — observing, however, to point off the decimal places ; the value of which is to be found...