Finding the Third Proportional to 140 and 253.50
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Solution
The third proportional to 140 and 253.50 is: 459.02
Step by Step Solution
- Step 1: Write the proportion equation
140 : 253.50 = 253.50 : x - Step 2: Convert to fraction form
140/253.50 = 253.50/x - Step 3: Cross multiply
140x = 253.50 × 253.50 - Step 4: Simplify right side
140x = 64,262.25 - Step 5: Solve for x
x = 64,262.25/140 - Step 6: Final answer
x = 459.02
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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.