Finding the Third Proportional to 31,896 and 74,499.75
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Solution
The third proportional to 31,896 and 74,499.75 is: 174,009.68
Step by Step Solution
- Step 1: Write the proportion equation
31,896 : 74,499.75 = 74,499.75 : x - Step 2: Convert to fraction form
31,896/74,499.75 = 74,499.75/x - Step 3: Cross multiply
31,896x = 74,499.75 × 74,499.75 - Step 4: Simplify right side
31,896x = 5,550,212,750.06 - Step 5: Solve for x
x = 5,550,212,750.06/31,896 - Step 6: Final answer
x = 174,009.68
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.