Finding the Third Proportional to 89 and 140
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Solution
The third proportional to 89 and 140 is: 220.22
Step by Step Solution
- Step 1: Write the proportion equation
89 : 140 = 140 : x - Step 2: Convert to fraction form
89/140 = 140/x - Step 3: Cross multiply
89x = 140 × 140 - Step 4: Simplify right side
89x = 19,600 - Step 5: Solve for x
x = 19,600/89 - Step 6: Final answer
x = 220.22
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.