Finding the Third Proportional to 201 and 253.50
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Solution
The third proportional to 201 and 253.50 is: 319.71
Step by Step Solution
- Step 1: Write the proportion equation
201 : 253.50 = 253.50 : x - Step 2: Convert to fraction form
201/253.50 = 253.50/x - Step 3: Cross multiply
201x = 253.50 × 253.50 - Step 4: Simplify right side
201x = 64,262.25 - Step 5: Solve for x
x = 64,262.25/201 - Step 6: Final answer
x = 319.71
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Why These Related Problems?
These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.