Finding the Third Proportional to 178 and 302
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Solution
The third proportional to 178 and 302 is: 512.38
Step by Step Solution
- Step 1: Write the proportion equation
178 : 302 = 302 : x - Step 2: Convert to fraction form
178/302 = 302/x - Step 3: Cross multiply
178x = 302 × 302 - Step 4: Simplify right side
178x = 91,204 - Step 5: Solve for x
x = 91,204/178 - Step 6: Final answer
x = 512.38
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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.