Finding the Third Proportional to 31.50 and 85.50
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Solution
The third proportional to 31.50 and 85.50 is: 232.07
Step by Step Solution
- Step 1: Write the proportion equation
31.50 : 85.50 = 85.50 : x - Step 2: Convert to fraction form
31.50/85.50 = 85.50/x - Step 3: Cross multiply
31.50x = 85.50 × 85.50 - Step 4: Simplify right side
31.50x = 7,310.25 - Step 5: Solve for x
x = 7,310.25/31.50 - Step 6: Final answer
x = 232.07
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Why These Related Problems?
These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.