Finding the Third Proportional to 178 and 218
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Solution
The third proportional to 178 and 218 is: 266.99
Step by Step Solution
- Step 1: Write the proportion equation
178 : 218 = 218 : x - Step 2: Convert to fraction form
178/218 = 218/x - Step 3: Cross multiply
178x = 218 × 218 - Step 4: Simplify right side
178x = 47,524 - Step 5: Solve for x
x = 47,524/178 - Step 6: Final answer
x = 266.99
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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.