Finding the Third Proportional to 1,378.13 and 2,177.44
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Solution
The third proportional to 1,378.13 and 2,177.44 is: 3,440.35
Step by Step Solution
- Step 1: Write the proportion equation
1,378.13 : 2,177.44 = 2,177.44 : x - Step 2: Convert to fraction form
1,378.13/2,177.44 = 2,177.44/x - Step 3: Cross multiply
1,378.13x = 2,177.44 × 2,177.44 - Step 4: Simplify right side
1,378.13x = 4,741,234.07 - Step 5: Solve for x
x = 4,741,234.07/1,378.13 - Step 6: Final answer
x = 3,440.35
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.