Finding the Third Proportional to 7,872.19 and 11,972.81
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Solution
The third proportional to 7,872.19 and 11,972.81 is: 18,209.45
Step by Step Solution
- Step 1: Write the proportion equation
7,872.19 : 11,972.81 = 11,972.81 : x - Step 2: Convert to fraction form
7,872.19/11,972.81 = 11,972.81/x - Step 3: Cross multiply
7,872.19x = 11,972.81 × 11,972.81 - Step 4: Simplify right side
7,872.19x = 143,348,239.16 - Step 5: Solve for x
x = 143,348,239.16/7,872.19 - Step 6: Final answer
x = 18,209.45
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.