Finding the Third Proportional to 649,830 and 1,449,077
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Solution
The third proportional to 649,830 and 1,449,077 is: 3,231,343.82
Step by Step Solution
- Step 1: Write the proportion equation
649,830 : 1,449,077 = 1,449,077 : x - Step 2: Convert to fraction form
649,830/1,449,077 = 1,449,077/x - Step 3: Cross multiply
649,830x = 1,449,077 × 1,449,077 - Step 4: Simplify right side
649,830x = 2,099,824,151,929 - Step 5: Solve for x
x = 2,099,824,151,929/649,830 - Step 6: Final answer
x = 3,231,343.82
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.