Finding the Third Proportional to 202,842.75 and 315,321.75
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Solution
The third proportional to 202,842.75 and 315,321.75 is: 490,171.85
Step by Step Solution
- Step 1: Write the proportion equation
202,842.75 : 315,321.75 = 315,321.75 : x - Step 2: Convert to fraction form
202,842.75/315,321.75 = 315,321.75/x - Step 3: Cross multiply
202,842.75x = 315,321.75 × 315,321.75 - Step 4: Simplify right side
202,842.75x = 99,427,806,023.06 - Step 5: Solve for x
x = 99,427,806,023.06/202,842.75 - Step 6: Final answer
x = 490,171.85
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.