Finding the Third Proportional to 76 and 190
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Solution
The third proportional to 76 and 190 is: 475
Step by Step Solution
- Step 1: Write the proportion equation
76 : 190 = 190 : x - Step 2: Convert to fraction form
76/190 = 190/x - Step 3: Cross multiply
76x = 190 × 190 - Step 4: Simplify right side
76x = 36,100 - Step 5: Solve for x
x = 36,100/76 - Step 6: Final answer
x = 475
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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.