Finding the Third Proportional to 7,786.13 and 12,237.19
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Solution
The third proportional to 7,786.13 and 12,237.19 is: 19,232.77
Step by Step Solution
- Step 1: Write the proportion equation
7,786.13 : 12,237.19 = 12,237.19 : x - Step 2: Convert to fraction form
7,786.13/12,237.19 = 12,237.19/x - Step 3: Cross multiply
7,786.13x = 12,237.19 × 12,237.19 - Step 4: Simplify right side
7,786.13x = 149,748,757.91 - Step 5: Solve for x
x = 149,748,757.91/7,786.13 - Step 6: Final answer
x = 19,232.77
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.