Finding the Third Proportional to 814 and 1,610
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Solution
The third proportional to 814 and 1,610 is: 3,184.40
Step by Step Solution
- Step 1: Write the proportion equation
814 : 1,610 = 1,610 : x - Step 2: Convert to fraction form
814/1,610 = 1,610/x - Step 3: Cross multiply
814x = 1,610 × 1,610 - Step 4: Simplify right side
814x = 2,592,100 - Step 5: Solve for x
x = 2,592,100/814 - Step 6: Final answer
x = 3,184.40
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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.