Finding the Third Proportional to 31,586 and 68,740
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Solution
The third proportional to 31,586 and 68,740 is: 149,597.53
Step by Step Solution
- Step 1: Write the proportion equation
31,586 : 68,740 = 68,740 : x - Step 2: Convert to fraction form
31,586/68,740 = 68,740/x - Step 3: Cross multiply
31,586x = 68,740 × 68,740 - Step 4: Simplify right side
31,586x = 4,725,187,600 - Step 5: Solve for x
x = 4,725,187,600/31,586 - Step 6: Final answer
x = 149,597.53
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.