Finding the Third Proportional to 214 and 580
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Solution
The third proportional to 214 and 580 is: 1,571.96
Step by Step Solution
- Step 1: Write the proportion equation
214 : 580 = 580 : x - Step 2: Convert to fraction form
214/580 = 580/x - Step 3: Cross multiply
214x = 580 × 580 - Step 4: Simplify right side
214x = 336,400 - Step 5: Solve for x
x = 336,400/214 - Step 6: Final answer
x = 1,571.96
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Why These Related Problems?
These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.