Finding the Third Proportional to 3,778.13 and 8,102.81
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Solution
The third proportional to 3,778.13 and 8,102.81 is: 17,377.82
Step by Step Solution
- Step 1: Write the proportion equation
3,778.13 : 8,102.81 = 8,102.81 : x - Step 2: Convert to fraction form
3,778.13/8,102.81 = 8,102.81/x - Step 3: Cross multiply
3,778.13x = 8,102.81 × 8,102.81 - Step 4: Simplify right side
3,778.13x = 65,655,570.41 - Step 5: Solve for x
x = 65,655,570.41/3,778.13 - Step 6: Final answer
x = 17,377.82
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.