Finding the Third Proportional to 814 and 992.50
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Solution
The third proportional to 814 and 992.50 is: 1,210.14
Step by Step Solution
- Step 1: Write the proportion equation
814 : 992.50 = 992.50 : x - Step 2: Convert to fraction form
814/992.50 = 992.50/x - Step 3: Cross multiply
814x = 992.50 × 992.50 - Step 4: Simplify right side
814x = 985,056.25 - Step 5: Solve for x
x = 985,056.25/814 - Step 6: Final answer
x = 1,210.14
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.