Finding the Third Proportional to 89 and 103.50
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Solution
The third proportional to 89 and 103.50 is: 120.36
Step by Step Solution
- Step 1: Write the proportion equation
89 : 103.50 = 103.50 : x - Step 2: Convert to fraction form
89/103.50 = 103.50/x - Step 3: Cross multiply
89x = 103.50 × 103.50 - Step 4: Simplify right side
89x = 10,712.25 - Step 5: Solve for x
x = 10,712.25/89 - Step 6: Final answer
x = 120.36
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Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.