Finding the Third Proportional to 420 and 464
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Solution
The third proportional to 420 and 464 is: 512.61
Step by Step Solution
- Step 1: Write the proportion equation
420 : 464 = 464 : x - Step 2: Convert to fraction form
420/464 = 464/x - Step 3: Cross multiply
420x = 464 × 464 - Step 4: Simplify right side
420x = 215,296 - Step 5: Solve for x
x = 215,296/420 - Step 6: Final answer
x = 512.61
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