Convert marathon to cable length

Learn how to convert 1 marathon to cable length step by step.

Calculation Breakdown

Set up the equation

1.0 (m a r a t h o n) = x (c a b l e l e n g t h)

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (m a r a t h o n) = 4.2195 \times 10^{4} (m e t e r) = 4.2195 \times 10^{4} (m)

Right side: 1.0 (c a b l e l e n g t h) = 185.3184 (m e t e r) = 185.3184 (m)

Insert known values into the conversion equation to determine

x

1.0 (m a r a t h o n) = x (c a b l e l e n g t h)

Insert known values =>

1.0 \times 4.2195 \times 10^{4} \times (m e t e r) = x \times 185.3184 \times (m e t e r)

Or

1.0 \cdot 4.2195 \times 10^{4} \cdot (m) = x \cdot 185.3184 \cdot (m)

Cancel SI units

1.0 \times 4.2195 \times 10^{4} \cdot (m) = x \times 185.3184 \times (m)

Conversion Equation

4.2195 \times 10^{4} = x \times 185.3184

Switch sides

x \times 185.3184 = 4.2195 \times 10^{4}

Isolate

x

Multiply both sides by

(\frac{1.0}{185.3184})

x \times 185.3184 \times \frac{1.0}{185.3184} = 4.2195 \times 10^{4} \times \frac{1.0}{185.3184}

Cancel

x \times 185.3184 \times \frac{1.0}{185.3184} = 4.2195 \times 10^{4} \times \frac{1.0}{185.3184}

Simplify

x = \frac{4.2195 \times 10^{4}}{185.3184}

Solve

x

x \approx 227.68920949 \approx 2.2769 \times 10^{2}

Conversion Equation

1.0 (m a r a t h o n) \approx 2.2769 \times 10^{2} (c a b l e l e n g t h)

View All Examples