Finding the Third Proportional to 31,784 and 69,936
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Solution
The third proportional to 31,784 and 69,936 is: 153,883.84
Step by Step Solution
- Step 1: Write the proportion equation
31,784 : 69,936 = 69,936 : x - Step 2: Convert to fraction form
31,784/69,936 = 69,936/x - Step 3: Cross multiply
31,784x = 69,936 × 69,936 - Step 4: Simplify right side
31,784x = 4,891,044,096 - Step 5: Solve for x
x = 4,891,044,096/31,784 - Step 6: Final answer
x = 153,883.84
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.