Finding the Third Proportional to 30.23 and 38.81
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Solution
The third proportional to 30.23 and 38.81 is: 49.82
Step by Step Solution
- Step 1: Write the proportion equation
30.23 : 38.81 = 38.81 : x - Step 2: Convert to fraction form
30.23/38.81 = 38.81/x - Step 3: Cross multiply
30.23x = 38.81 × 38.81 - Step 4: Simplify right side
30.23x = 1,506.41 - Step 5: Solve for x
x = 1,506.41/30.23 - Step 6: Final answer
x = 49.82
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.