Finding the Third Proportional to 202,284.56 and 291,378.09
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Solution
The third proportional to 202,284.56 and 291,378.09 is: 419,711.68
Step by Step Solution
- Step 1: Write the proportion equation
202,284.56 : 291,378.09 = 291,378.09 : x - Step 2: Convert to fraction form
202,284.56/291,378.09 = 291,378.09/x - Step 3: Cross multiply
202,284.56x = 291,378.09 × 291,378.09 - Step 4: Simplify right side
202,284.56x = 84,901,193,517.38 - Step 5: Solve for x
x = 84,901,193,517.38/202,284.56 - Step 6: Final answer
x = 419,711.68
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.