Finding the Third Proportional to 75 and 83.50
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Solution
The third proportional to 75 and 83.50 is: 92.96
Step by Step Solution
- Step 1: Write the proportion equation
75 : 83.50 = 83.50 : x - Step 2: Convert to fraction form
75/83.50 = 83.50/x - Step 3: Cross multiply
75x = 83.50 × 83.50 - Step 4: Simplify right side
75x = 6,972.25 - Step 5: Solve for x
x = 6,972.25/75 - Step 6: Final answer
x = 92.96
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.