Finding the Third Proportional to 178 and 214
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Solution
The third proportional to 178 and 214 is: 257.28
Step by Step Solution
- Step 1: Write the proportion equation
178 : 214 = 214 : x - Step 2: Convert to fraction form
178/214 = 214/x - Step 3: Cross multiply
178x = 214 × 214 - Step 4: Simplify right side
178x = 45,796 - Step 5: Solve for x
x = 45,796/178 - Step 6: Final answer
x = 257.28
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.