Finding the Third Proportional to 178 and 298
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Solution
The third proportional to 178 and 298 is: 498.90
Step by Step Solution
- Step 1: Write the proportion equation
178 : 298 = 298 : x - Step 2: Convert to fraction form
178/298 = 298/x - Step 3: Cross multiply
178x = 298 × 298 - Step 4: Simplify right side
178x = 88,804 - Step 5: Solve for x
x = 88,804/178 - Step 6: Final answer
x = 498.90
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.