Finding the Third Proportional to 31,595 and 73,142
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Solution
The third proportional to 31,595 and 73,142 is: 169,322.75
Step by Step Solution
- Step 1: Write the proportion equation
31,595 : 73,142 = 73,142 : x - Step 2: Convert to fraction form
31,595/73,142 = 73,142/x - Step 3: Cross multiply
31,595x = 73,142 × 73,142 - Step 4: Simplify right side
31,595x = 5,349,752,164 - Step 5: Solve for x
x = 5,349,752,164/31,595 - Step 6: Final answer
x = 169,322.75
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.