Ratios and Proportions, Arithmetic & Geometric Mean, Means Extremes Theorem - Geometry Problems

This geometry video tutorial provides a basic introduction into solving ratios and proportions word problems. It explains how to calculate the arithmetic mean and geometric mean of two numbers. It helps you to understand why this process works by writing an arithmetic sequence and a geometric series. It mentions how to calculate the mean proportional of two numbers as well as how to identify the means and extremes. It contains a practice problem that helps you to calculate the number of girls in a classroom given the ratio of boys to girls. It discusses how to determine the ratio of x to y given an equation. It contains a problem that explains how to determine the ratio of the area of two squares as well as the ratio of the perimeter of two squares. There's another problem that explains how to use ratios and proportions to calculate the distance between two cities given a scale map as well as the scale factor that goes with it. The last problem discusses how to calculate the perimeter of a rectangle given the area of the rectangle with the ratio of the length to the width of the rectangle. Polygons:    • Polygons   Quadrilaterals:    • Quadrilaterals - Geometry   Skew Lines:    • Skew Lines, Perpendicular & Parallel Lines...   Points, Lines, Planes, & Segments:    • Points, Lines, Planes, Segments, & Rays - ...   Triangles - Basic Introduction:    • Triangles - Basic Introduction, Geometry   Number of a Diagonals In a Polygon:    • Number of Diagonals In a Regular Polygon -...   ___________________________________ Similar Triangles:    • Similar Triangles   Similar Triangles - Enlargement Ratios:    • Similar Triangles and Figures, Enlargement...   Triangle Similarity - SSS, SAS, & AAA:    • Triangle Similarity - AA SSS SAS & AAA Pos...   Triangle Proportionality Theorem:    • Triangle Proportionality Theorem, Side Spl...   Altitude on Hypotenuse Theorem:    • Altitude on Hypotenuse Theorem - Geometry ...   ___________________________________ Pythagorean Theorem:    • Pythagorean Theorem   The Distance Formula:    • Distance Formula   Distance Between 2 Points - 3D:    • How To Find The Distance Between 2 Points ...   Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets:   / collections