Finding the Third Proportional to 14,160 and 19,809
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Solution
The third proportional to 14,160 and 19,809 is: 27,711.62
Step by Step Solution
- Step 1: Write the proportion equation
14,160 : 19,809 = 19,809 : x - Step 2: Convert to fraction form
14,160/19,809 = 19,809/x - Step 3: Cross multiply
14,160x = 19,809 × 19,809 - Step 4: Simplify right side
14,160x = 392,396,481 - Step 5: Solve for x
x = 392,396,481/14,160 - Step 6: Final answer
x = 27,711.62
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.