Finding the Third Proportional to 31,034 and 47,469
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Solution
The third proportional to 31,034 and 47,469 is: 72,607.65
Step by Step Solution
- Step 1: Write the proportion equation
31,034 : 47,469 = 47,469 : x - Step 2: Convert to fraction form
31,034/47,469 = 47,469/x - Step 3: Cross multiply
31,034x = 47,469 × 47,469 - Step 4: Simplify right side
31,034x = 2,253,305,961 - Step 5: Solve for x
x = 2,253,305,961/31,034 - Step 6: Final answer
x = 72,607.65
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.