Finding the Third Proportional to 74,214 and 114,777
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Solution
The third proportional to 74,214 and 114,777 is: 177,510.44
Step by Step Solution
- Step 1: Write the proportion equation
74,214 : 114,777 = 114,777 : x - Step 2: Convert to fraction form
74,214/114,777 = 114,777/x - Step 3: Cross multiply
74,214x = 114,777 × 114,777 - Step 4: Simplify right side
74,214x = 13,173,759,729 - Step 5: Solve for x
x = 13,173,759,729/74,214 - Step 6: Final answer
x = 177,510.44
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.