Finding the Third Proportional to 2,209 and 4,606
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Solution
The third proportional to 2,209 and 4,606 is: 9,604
Step by Step Solution
- Step 1: Write the proportion equation
2,209 : 4,606 = 4,606 : x - Step 2: Convert to fraction form
2,209/4,606 = 4,606/x - Step 3: Cross multiply
2,209x = 4,606 × 4,606 - Step 4: Simplify right side
2,209x = 21,215,236 - Step 5: Solve for x
x = 21,215,236/2,209 - Step 6: Final answer
x = 9,604
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.