Finding the Third Proportional to 77.50 and 138
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Solution
The third proportional to 77.50 and 138 is: 245.73
Step by Step Solution
- Step 1: Write the proportion equation
77.50 : 138 = 138 : x - Step 2: Convert to fraction form
77.50/138 = 138/x - Step 3: Cross multiply
77.50x = 138 × 138 - Step 4: Simplify right side
77.50x = 19,044 - Step 5: Solve for x
x = 19,044/77.50 - Step 6: Final answer
x = 245.73
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.