Finding the Third Proportional to 8,228.25 and 11,723.63
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Solution
The third proportional to 8,228.25 and 11,723.63 is: 16,703.84
Step by Step Solution
- Step 1: Write the proportion equation
8,228.25 : 11,723.63 = 11,723.63 : x - Step 2: Convert to fraction form
8,228.25/11,723.63 = 11,723.63/x - Step 3: Cross multiply
8,228.25x = 11,723.63 × 11,723.63 - Step 4: Simplify right side
8,228.25x = 137,443,383.14 - Step 5: Solve for x
x = 137,443,383.14/8,228.25 - Step 6: Final answer
x = 16,703.84
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.