Finding the Third Proportional to 75,458.25 and 102,115.69
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Solution
The third proportional to 75,458.25 and 102,115.69 is: 138,190.50
Step by Step Solution
- Step 1: Write the proportion equation
75,458.25 : 102,115.69 = 102,115.69 : x - Step 2: Convert to fraction form
75,458.25/102,115.69 = 102,115.69/x - Step 3: Cross multiply
75,458.25x = 102,115.69 × 102,115.69 - Step 4: Simplify right side
75,458.25x = 10,427,613,633.60 - Step 5: Solve for x
x = 10,427,613,633.60/75,458.25 - Step 6: Final answer
x = 138,190.50
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.