Finding the Third Proportional to 30.69 and 44.31
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Solution
The third proportional to 30.69 and 44.31 is: 63.99
Step by Step Solution
- Step 1: Write the proportion equation
30.69 : 44.31 = 44.31 : x - Step 2: Convert to fraction form
30.69/44.31 = 44.31/x - Step 3: Cross multiply
30.69x = 44.31 × 44.31 - Step 4: Simplify right side
30.69x = 1,963.60 - Step 5: Solve for x
x = 1,963.60/30.69 - Step 6: Final answer
x = 63.99
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.