Finding the Third Proportional to 649,838 and 1,449,091
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Solution
The third proportional to 649,838 and 1,449,091 is: 3,231,366.47
Step by Step Solution
- Step 1: Write the proportion equation
649,838 : 1,449,091 = 1,449,091 : x - Step 2: Convert to fraction form
649,838/1,449,091 = 1,449,091/x - Step 3: Cross multiply
649,838x = 1,449,091 × 1,449,091 - Step 4: Simplify right side
649,838x = 2,099,864,726,281 - Step 5: Solve for x
x = 2,099,864,726,281/649,838 - Step 6: Final answer
x = 3,231,366.47
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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.