Finding the Third Proportional to 144 and 153
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Solution
The third proportional to 144 and 153 is: 162.56
Step by Step Solution
- Step 1: Write the proportion equation
144 : 153 = 153 : x - Step 2: Convert to fraction form
144/153 = 153/x - Step 3: Cross multiply
144x = 153 × 153 - Step 4: Simplify right side
144x = 23,409 - Step 5: Solve for x
x = 23,409/144 - Step 6: Final answer
x = 162.56
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These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.