Finding the Third Proportional to 190,717 and 414,643
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Solution
The third proportional to 190,717 and 414,643 is: 901,486.59
Step by Step Solution
- Step 1: Write the proportion equation
190,717 : 414,643 = 414,643 : x - Step 2: Convert to fraction form
190,717/414,643 = 414,643/x - Step 3: Cross multiply
190,717x = 414,643 × 414,643 - Step 4: Simplify right side
190,717x = 171,928,817,449 - Step 5: Solve for x
x = 171,928,817,449/190,717 - Step 6: Final answer
x = 901,486.59
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.