Finding the Third Proportional to 2,178 and 3,762
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Solution
The third proportional to 2,178 and 3,762 is: 6,498
Step by Step Solution
- Step 1: Write the proportion equation
2,178 : 3,762 = 3,762 : x - Step 2: Convert to fraction form
2,178/3,762 = 3,762/x - Step 3: Cross multiply
2,178x = 3,762 × 3,762 - Step 4: Simplify right side
2,178x = 14,152,644 - Step 5: Solve for x
x = 14,152,644/2,178 - Step 6: Final answer
x = 6,498
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Why These Related Problems?
These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.