Finding the Third Proportional to 312,303.75 and 678,120.75
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Solution
The third proportional to 312,303.75 and 678,120.75 is: 1,472,437.50
Step by Step Solution
- Step 1: Write the proportion equation
312,303.75 : 678,120.75 = 678,120.75 : x - Step 2: Convert to fraction form
312,303.75/678,120.75 = 678,120.75/x - Step 3: Cross multiply
312,303.75x = 678,120.75 × 678,120.75 - Step 4: Simplify right side
312,303.75x = 459,847,751,580.56 - Step 5: Solve for x
x = 459,847,751,580.56/312,303.75 - Step 6: Final answer
x = 1,472,437.50
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.