Finding the Third Proportional to 36,642 and 78,027
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Solution
The third proportional to 36,642 and 78,027 is: 166,153.94
Step by Step Solution
- Step 1: Write the proportion equation
36,642 : 78,027 = 78,027 : x - Step 2: Convert to fraction form
36,642/78,027 = 78,027/x - Step 3: Cross multiply
36,642x = 78,027 × 78,027 - Step 4: Simplify right side
36,642x = 6,088,212,729 - Step 5: Solve for x
x = 6,088,212,729/36,642 - Step 6: Final answer
x = 166,153.94
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.