Finding the Third Proportional to 2,161.69 and 3,785.06
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Solution
The third proportional to 2,161.69 and 3,785.06 is: 6,627.55
Step by Step Solution
- Step 1: Write the proportion equation
2,161.69 : 3,785.06 = 3,785.06 : x - Step 2: Convert to fraction form
2,161.69/3,785.06 = 3,785.06/x - Step 3: Cross multiply
2,161.69x = 3,785.06 × 3,785.06 - Step 4: Simplify right side
2,161.69x = 14,326,698.13 - Step 5: Solve for x
x = 14,326,698.13/2,161.69 - Step 6: Final answer
x = 6,627.55
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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.