Extrapolation Calculator

Are you trying to find a value outside a known range of data points? That’s what an Extrapolation Calculator helps you do. It estimates unknown values by extending a known sequence of values.

Enter the first value of X (e.g., 10).

Enter the first value of Y (e.g., 20).

Enter the second value of X (e.g., 15).

Enter the second value of Y (e.g., 30).

Enter the X3 or Y3 value (leave one blank for calculation).

The calculated missing value (X or Y) will be displayed here.

What is Extrapolation?

Extrapolation is when you use information you know to guess what you don’t know. It looks at patterns in numbers you have and thinks the pattern will keep going in the same way. This helps in math, science and building things. It lets you figure out more even when you don’t have all the facts.

How to Use The Tool?

Input Fields

Enter X1 (e.g., 2): The first known x-coordinate.
Enter Y1 (e.g., 4): The first known y-coordinate.
Enter X2 (e.g., 6): The second known x-coordinate.
Enter Y2 (e.g., 8): The second known y-coordinate.
Enter X3 or Y3 (e.g., 10): The x-coordinate or y-coordinate for which you want to find the corresponding y or x value.

Example Values:

Let’s say you have two points: (2, 4) and (6, 8). You want to find the y-value for x = 10.

Formula

The formula for linear extrapolation is:

 $Y 3 = Y 1 + (\frac{X 3 - X 1}{X 2 - X 1}) \times (Y 2 - Y 1)$

Variable	Description
$X 1$	First x-coordinate
$Y 1$	First y-coordinate
$X 2$	Second x-coordinate
$Y 2$	Second y-coordinate
$X 3$	Third x-coordinate (for Y3 calculation)
$Y 3$	Third y-coordinate (for X3 calculation)

Calculation Examples

Example 1

X1: 2
Y1: 4
X2: 6
Y2: 8
X3: 10

Calculation:

1. Calculate the slope:

 $slope = \frac{Y 2 - Y 1}{X 2 - X 1} = \frac{8 - 4}{6 - 2} = 1$

2. Apply the formula:

 $Y 3 = 4 + (\frac{10 - 2}{6 - 2}) \times (8 - 4) = 4 + 2 \times 4 = 12$

Result: Y3 = 12

Example 2

X1: 1
Y1: 3
X2: 4
Y2: 7
Y3: 15

Calculation:

1. Calculate the slope:

 $slope = \frac{7 - 3}{4 - 1} = \frac{4}{3}$

2. Apply the formula to find X3:

 $X 3 = 1 + (\frac{15 - 3}{\frac{4}{3}}) = 1 + 9 = 10$

Result: X3 = 10

Thank you for using our tool.

Extrapolation Calculator