Finding the Third Proportional to 31,204 and 71,674
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Solution
The third proportional to 31,204 and 71,674 is: 164,631.53
Step by Step Solution
- Step 1: Write the proportion equation
31,204 : 71,674 = 71,674 : x - Step 2: Convert to fraction form
31,204/71,674 = 71,674/x - Step 3: Cross multiply
31,204x = 71,674 × 71,674 - Step 4: Simplify right side
31,204x = 5,137,162,276 - Step 5: Solve for x
x = 5,137,162,276/31,204 - Step 6: Final answer
x = 164,631.53
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.