Finding the Third Proportional to 320 and 360
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Solution
The third proportional to 320 and 360 is: 405
Step by Step Solution
- Step 1: Write the proportion equation
320 : 360 = 360 : x - Step 2: Convert to fraction form
320/360 = 360/x - Step 3: Cross multiply
320x = 360 × 360 - Step 4: Simplify right side
320x = 129,600 - Step 5: Solve for x
x = 129,600/320 - Step 6: Final answer
x = 405
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.