Finding the Third Proportional to 314 and 635
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Solution
The third proportional to 314 and 635 is: 1,284.16
Step by Step Solution
- Step 1: Write the proportion equation
314 : 635 = 635 : x - Step 2: Convert to fraction form
314/635 = 635/x - Step 3: Cross multiply
314x = 635 × 635 - Step 4: Simplify right side
314x = 403,225 - Step 5: Solve for x
x = 403,225/314 - Step 6: Final answer
x = 1,284.16
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Why These Related Problems?
These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.