Finding the Third Proportional to 40,196 and 81,486
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Solution
The third proportional to 40,196 and 81,486 is: 165,189.78
Step by Step Solution
- Step 1: Write the proportion equation
40,196 : 81,486 = 81,486 : x - Step 2: Convert to fraction form
40,196/81,486 = 81,486/x - Step 3: Cross multiply
40,196x = 81,486 × 81,486 - Step 4: Simplify right side
40,196x = 6,639,968,196 - Step 5: Solve for x
x = 6,639,968,196/40,196 - Step 6: Final answer
x = 165,189.78
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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.