Finding the Third Proportional to 7,478.75 and 11,578.75
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Solution
The third proportional to 7,478.75 and 11,578.75 is: 17,926.45
Step by Step Solution
- Step 1: Write the proportion equation
7,478.75 : 11,578.75 = 11,578.75 : x - Step 2: Convert to fraction form
7,478.75/11,578.75 = 11,578.75/x - Step 3: Cross multiply
7,478.75x = 11,578.75 × 11,578.75 - Step 4: Simplify right side
7,478.75x = 134,067,451.56 - Step 5: Solve for x
x = 134,067,451.56/7,478.75 - Step 6: Final answer
x = 17,926.45
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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.