Finding the Third Proportional to 7,678.13 and 12,198.94
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Solution
The third proportional to 7,678.13 and 12,198.94 is: 19,381.56
Step by Step Solution
- Step 1: Write the proportion equation
7,678.13 : 12,198.94 = 12,198.94 : x - Step 2: Convert to fraction form
7,678.13/12,198.94 = 12,198.94/x - Step 3: Cross multiply
7,678.13x = 12,198.94 × 12,198.94 - Step 4: Simplify right side
7,678.13x = 148,814,076.13 - Step 5: Solve for x
x = 148,814,076.13/7,678.13 - Step 6: Final answer
x = 19,381.56
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.