Finding the Third Proportional to 161 and 420.50
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Solution
The third proportional to 161 and 420.50 is: 1,098.26
Step by Step Solution
- Step 1: Write the proportion equation
161 : 420.50 = 420.50 : x - Step 2: Convert to fraction form
161/420.50 = 420.50/x - Step 3: Cross multiply
161x = 420.50 × 420.50 - Step 4: Simplify right side
161x = 176,820.25 - Step 5: Solve for x
x = 176,820.25/161 - Step 6: Final answer
x = 1,098.26
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Why These Related Problems?
These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.