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    Arithmetic
    Middle School
    Arithmetic (Middle School Level)

    Proportion Solver

    Solve for the missing value in a proportion using cross multiplication

    Standard Formula
    a/b = c/x → x = (b × c) / a

    Interactive Sandbox

    Live Reactive

    Adjust values in real-time and observe mathematical cause-and-effect

    a
    120
    b
    120
    c
    124
    Live EquationFormula Proof
    2/3 = 8/x → x = (3 × 8) / 2 = 12
    23
    2 rows × 3 cols = 6 dots
    Calculated Solution
    12

    Direct computational model evaluating Proportion Solver.

    Variable Mechanics

    Roles, constraints & impacts

    3 Params
    a

    First Term (a)

    First Term (a)

    ImpactPrimary formula parameter
    ConstraintReal number
    b

    Second Term (b)

    Second Term (b)

    ImpactPrimary formula parameter
    ConstraintReal number
    c

    Third Term (c)

    Third Term (c)

    ImpactPrimary formula parameter
    ConstraintReal number

    At a Glance

    Gotchas, units & real-world use

    Essential

    Formula Nature & Mechanics

    Direct computational model evaluating Proportion Solver.

    Common Mistakes & Traps

    • Ensure all input measurements share consistent units before calculating.
    • Check for denominator values approaching zero to prevent undefined division.
    • Follow standard order of operations (PEMDAS: Parentheses, Exponents, Multiply/Divide, Add/Subtract).

    Dimensional Analysis & Units

    Direct evaluation matching formula variable dimensions.

    Real-World & Industry Application

    Widely utilized across modern arithmetic applications, academic analysis, and engineering estimations.

    📖 Beginner's guideHow to Solve a Proportion (Cross Multiply)Learn how to solve a proportion for a missing value using cross multiplication, with a step-by-step method and a free proportion solver calculator.

    Worked Example: Proportion Solver

    Given:

    • a = 2
    • b = 3
    • c = 8
    1. 2/3 = 8/x
    2. Cross multiply: 2x = 3 × 8
    3. 2x = 24
    4. x = 12

    Answer: 12

    Frequently Asked Questions

    What is the Proportion Solver formula?

    a/b = c/x → x = (b × c) / a. Solve for the missing value in a proportion using cross multiplication.

    How do I calculate Proportion Solver?

    Enter First Term (a) (a), Second Term (b) (b), Third Term (c) (c) into the calculator. It applies a/b = c/x → x = (b × c) / a and shows every step of the working.

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