Finding the Third Proportional to 262,872 and 407,790
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Solution
The third proportional to 262,872 and 407,790 is: 632,599.46
Step by Step Solution
- Step 1: Write the proportion equation
262,872 : 407,790 = 407,790 : x - Step 2: Convert to fraction form
262,872/407,790 = 407,790/x - Step 3: Cross multiply
262,872x = 407,790 × 407,790 - Step 4: Simplify right side
262,872x = 166,292,684,100 - Step 5: Solve for x
x = 166,292,684,100/262,872 - Step 6: Final answer
x = 632,599.46
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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.