Finding the Third Proportional to 152 and 380
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Solution
The third proportional to 152 and 380 is: 950
Step by Step Solution
- Step 1: Write the proportion equation
152 : 380 = 380 : x - Step 2: Convert to fraction form
152/380 = 380/x - Step 3: Cross multiply
152x = 380 × 380 - Step 4: Simplify right side
152x = 144,400 - Step 5: Solve for x
x = 144,400/152 - Step 6: Final answer
x = 950
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These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.