Cross Exchange Rate Calculator
Find the exchange rate between any two currencies using a common third currency. Enter both rates against the base (e.g. USD) and get the direct cross rate and its inverse instantly.
1 EUR = 0.858268 GBP
- 1
Rate A in base
1 EUR = 1.09 USD = 1.09 - 2
Rate B in base
1 GBP = 1.27 USD = 1.27 - 3
EUR/GBP cross rate
1.09 ÷ 1.27 = 0.858268Divide rate A by rate B to eliminate the base currency.
How does this calculator work?
Cross rate A/B = rate(A vs USD) ÷ rate(B vs USD). For example, EUR/USD = 1.09 and GBP/USD = 1.27 gives EUR/GBP = 1.09 ÷ 1.27 ≈ 0.859. The inverse (GBP/EUR) is simply 1.27 ÷ 1.09 ≈ 1.165. Use any shared base currency — the formula works the same way.
Formula
How this is calculated
When a direct exchange rate between two currencies is not readily available (or you want to verify a quoted cross rate), you can derive it from each currency's rate against a common third currency — typically USD or EUR. If 1 EUR = 1.09 USD and 1 GBP = 1.27 USD, then 1 EUR = (1.09 ÷ 1.27) GBP ≈ 0.859 GBP. The formula is: cross rate A/B = rate(A vs base) ÷ rate(B vs base).
In Forex markets, currency pairs not involving USD are called cross pairs (e.g. EUR/GBP, EUR/JPY, GBP/JPY). Market makers quote them by internally dividing or multiplying the two USD rates. A slight discrepancy between the implied cross rate and the market-quoted cross rate creates a triangular arbitrage opportunity — professional traders exploit these algorithmically and they typically disappear within milliseconds.
The rates you enter should be of the form "1 unit of currency X costs how many units of base currency". Exchange rates move constantly during market hours, so the result is only as current as the rates you input. Always verify live rates from a reliable Forex data provider.
Frequently asked questions
A cross exchange rate is the exchange rate between two currencies derived indirectly through a common third currency (usually USD), rather than quoted directly in the market. For example, EUR/GBP is computed from EUR/USD and GBP/USD.
In efficient markets the difference is minimal (fractions of a pip) because arbitrageurs enforce consistency. If the rates you entered are not live (e.g. end-of-day or approximate), the computed cross rate may differ from the current market quote by more.
Triangular arbitrage exploits a temporary inconsistency among three exchange rates to earn a risk-free profit. If A/B × B/C × C/A ≠ 1, a trader can cycle through all three conversions and end up with more money than they started with. Modern algorithmic trading eliminates these gaps almost instantly.
Also known as
TG we-Calculate Editorial Team. (2026). Cross Exchange Rate Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/cross-exchange-rate-calculator
TG we-Calculate Editorial Team. "Cross Exchange Rate Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/cross-exchange-rate-calculator.
TG we-Calculate Editorial Team, "Cross Exchange Rate Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/cross-exchange-rate-calculator
@misc{wecalculate_cross_exchange_rate_calculator, title = {Cross Exchange Rate Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/cross-exchange-rate-calculator}}, year = {2026}, note = {TG we-Calculate} }
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