Question

find the mean proportional between 25, 36 ​

Answer 1

Answer:the mean proportion:

25:x::x:36

x^2=25×36

x^2=900

x=30

Answer 2

ᴛʜᴇ ᴍᴇᴀɴ ᴘʀᴏᴘᴏʀᴛɪᴏɴ ʙᴇᴛᴡᴇᴇɴ 25 , 36 ɪs 30

25 : x :: x : 36

ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴍɪᴅᴅʟᴇ ᴛᴇʀᴍ = ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴇxᴛʀᴇᴍᴇ ᴛᴇʀᴍ

$x \times x = 36 \times 25 \\ \: {x}^{2} = \sqrt{900} \\ \: {x}^{2} = 30$

ᴍᴇᴀɴ ᴘʀᴏᴘᴏʀᴛɪᴏɴ ɪs = 30

ᴏʀ

${b}^{2} = 25 \times 36 \\ \: {b}^{2} = \sqrt{25 \times 36} \\ \: = 5 \times 6 \\ \: = 30$

ᴍᴇᴀɴ ᴘʀᴏᴘᴏʀᴛɪᴏɴ ɪs = 30