Finding the Third Proportional to 78 and 101.75
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Solution
The third proportional to 78 and 101.75 is: 132.73
Step by Step Solution
- Step 1: Write the proportion equation
78 : 101.75 = 101.75 : x - Step 2: Convert to fraction form
78/101.75 = 101.75/x - Step 3: Cross multiply
78x = 101.75 × 101.75 - Step 4: Simplify right side
78x = 10,353.06 - Step 5: Solve for x
x = 10,353.06/78 - Step 6: Final answer
x = 132.73
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.