Finding the Third Proportional to 296 and 620
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Solution
The third proportional to 296 and 620 is: 1,298.65
Step by Step Solution
- Step 1: Write the proportion equation
296 : 620 = 620 : x - Step 2: Convert to fraction form
296/620 = 620/x - Step 3: Cross multiply
296x = 620 × 620 - Step 4: Simplify right side
296x = 384,400 - Step 5: Solve for x
x = 384,400/296 - Step 6: Final answer
x = 1,298.65
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.