Finding the Third Proportional to 505,770 and 1,089,948
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Solution
The third proportional to 505,770 and 1,089,948 is: 2,348,867.36
Step by Step Solution
- Step 1: Write the proportion equation
505,770 : 1,089,948 = 1,089,948 : x - Step 2: Convert to fraction form
505,770/1,089,948 = 1,089,948/x - Step 3: Cross multiply
505,770x = 1,089,948 × 1,089,948 - Step 4: Simplify right side
505,770x = 1,187,986,642,704 - Step 5: Solve for x
x = 1,187,986,642,704/505,770 - Step 6: Final answer
x = 2,348,867.36
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.