Finding the Third Proportional to 1,427.63 and 3,074.63
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Solution
The third proportional to 1,427.63 and 3,074.63 is: 6,621.71
Step by Step Solution
- Step 1: Write the proportion equation
1,427.63 : 3,074.63 = 3,074.63 : x - Step 2: Convert to fraction form
1,427.63/3,074.63 = 3,074.63/x - Step 3: Cross multiply
1,427.63x = 3,074.63 × 3,074.63 - Step 4: Simplify right side
1,427.63x = 9,453,318.89 - Step 5: Solve for x
x = 9,453,318.89/1,427.63 - Step 6: Final answer
x = 6,621.71
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.