Finding the Third Proportional to 2,206 and 3,419
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Solution
The third proportional to 2,206 and 3,419 is: 5,298.99
Step by Step Solution
- Step 1: Write the proportion equation
2,206 : 3,419 = 3,419 : x - Step 2: Convert to fraction form
2,206/3,419 = 3,419/x - Step 3: Cross multiply
2,206x = 3,419 × 3,419 - Step 4: Simplify right side
2,206x = 11,689,561 - Step 5: Solve for x
x = 11,689,561/2,206 - Step 6: Final answer
x = 5,298.99
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.