Finding the Third Proportional to 86,614 and 189,764
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Solution
The third proportional to 86,614 and 189,764 is: 415,756.99
Step by Step Solution
- Step 1: Write the proportion equation
86,614 : 189,764 = 189,764 : x - Step 2: Convert to fraction form
86,614/189,764 = 189,764/x - Step 3: Cross multiply
86,614x = 189,764 × 189,764 - Step 4: Simplify right side
86,614x = 36,010,375,696 - Step 5: Solve for x
x = 36,010,375,696/86,614 - Step 6: Final answer
x = 415,756.99
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.