Finding the Third Proportional to 380 and 702
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Solution
The third proportional to 380 and 702 is: 1,296.85
Step by Step Solution
- Step 1: Write the proportion equation
380 : 702 = 702 : x - Step 2: Convert to fraction form
380/702 = 702/x - Step 3: Cross multiply
380x = 702 × 702 - Step 4: Simplify right side
380x = 492,804 - Step 5: Solve for x
x = 492,804/380 - Step 6: Final answer
x = 1,296.85
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.