Finding the Third Proportional to 135 and 155
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Solution
The third proportional to 135 and 155 is: 177.96
Step by Step Solution
- Step 1: Write the proportion equation
135 : 155 = 155 : x - Step 2: Convert to fraction form
135/155 = 155/x - Step 3: Cross multiply
135x = 155 × 155 - Step 4: Simplify right side
135x = 24,025 - Step 5: Solve for x
x = 24,025/135 - Step 6: Final answer
x = 177.96
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.