Finding the Third Proportional to 2,286.63 and 3,420.19
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Solution
The third proportional to 2,286.63 and 3,420.19 is: 5,115.70
Step by Step Solution
- Step 1: Write the proportion equation
2,286.63 : 3,420.19 = 3,420.19 : x - Step 2: Convert to fraction form
2,286.63/3,420.19 = 3,420.19/x - Step 3: Cross multiply
2,286.63x = 3,420.19 × 3,420.19 - Step 4: Simplify right side
2,286.63x = 11,697,682.54 - Step 5: Solve for x
x = 11,697,682.54/2,286.63 - Step 6: Final answer
x = 5,115.70
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.