Finding the Third Proportional to 124 and 157.50
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Solution
The third proportional to 124 and 157.50 is: 200.05
Step by Step Solution
- Step 1: Write the proportion equation
124 : 157.50 = 157.50 : x - Step 2: Convert to fraction form
124/157.50 = 157.50/x - Step 3: Cross multiply
124x = 157.50 × 157.50 - Step 4: Simplify right side
124x = 24,806.25 - Step 5: Solve for x
x = 24,806.25/124 - Step 6: Final answer
x = 200.05
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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.