Finding the Third Proportional to 99,983.50 and 211,208
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Solution
The third proportional to 99,983.50 and 211,208 is: 446,161.81
Step by Step Solution
- Step 1: Write the proportion equation
99,983.50 : 211,208 = 211,208 : x - Step 2: Convert to fraction form
99,983.50/211,208 = 211,208/x - Step 3: Cross multiply
99,983.50x = 211,208 × 211,208 - Step 4: Simplify right side
99,983.50x = 44,608,819,264 - Step 5: Solve for x
x = 44,608,819,264/99,983.50 - Step 6: Final answer
x = 446,161.81
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.