Finding the Third Proportional to 78 and 137.50
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Solution
The third proportional to 78 and 137.50 is: 242.39
Step by Step Solution
- Step 1: Write the proportion equation
78 : 137.50 = 137.50 : x - Step 2: Convert to fraction form
78/137.50 = 137.50/x - Step 3: Cross multiply
78x = 137.50 × 137.50 - Step 4: Simplify right side
78x = 18,906.25 - Step 5: Solve for x
x = 18,906.25/78 - Step 6: Final answer
x = 242.39
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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.