Finding the Third Proportional to 837 and 1,419
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Solution
The third proportional to 837 and 1,419 is: 2,405.69
Step by Step Solution
- Step 1: Write the proportion equation
837 : 1,419 = 1,419 : x - Step 2: Convert to fraction form
837/1,419 = 1,419/x - Step 3: Cross multiply
837x = 1,419 × 1,419 - Step 4: Simplify right side
837x = 2,013,561 - Step 5: Solve for x
x = 2,013,561/837 - Step 6: Final answer
x = 2,405.69
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Why These Related Problems?
These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.