Finding the Third Proportional to 30 and 30.75
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Solution
The third proportional to 30 and 30.75 is: 31.52
Step by Step Solution
- Step 1: Write the proportion equation
30 : 30.75 = 30.75 : x - Step 2: Convert to fraction form
30/30.75 = 30.75/x - Step 3: Cross multiply
30x = 30.75 × 30.75 - Step 4: Simplify right side
30x = 945.56 - Step 5: Solve for x
x = 945.56/30 - Step 6: Final answer
x = 31.52
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.