Finding the Third Proportional to 2,210 and 3,747
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Solution
The third proportional to 2,210 and 3,747 is: 6,352.95
Step by Step Solution
- Step 1: Write the proportion equation
2,210 : 3,747 = 3,747 : x - Step 2: Convert to fraction form
2,210/3,747 = 3,747/x - Step 3: Cross multiply
2,210x = 3,747 × 3,747 - Step 4: Simplify right side
2,210x = 14,040,009 - Step 5: Solve for x
x = 14,040,009/2,210 - Step 6: Final answer
x = 6,352.95
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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.