Finding the Third Proportional to 99,786 and 215,397
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Solution
The third proportional to 99,786 and 215,397 is: 464,953.68
Step by Step Solution
- Step 1: Write the proportion equation
99,786 : 215,397 = 215,397 : x - Step 2: Convert to fraction form
99,786/215,397 = 215,397/x - Step 3: Cross multiply
99,786x = 215,397 × 215,397 - Step 4: Simplify right side
99,786x = 46,395,867,609 - Step 5: Solve for x
x = 46,395,867,609/99,786 - Step 6: Final answer
x = 464,953.68
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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.