Finding the Third Proportional to 91 and 106.75
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Solution
The third proportional to 91 and 106.75 is: 125.23
Step by Step Solution
- Step 1: Write the proportion equation
91 : 106.75 = 106.75 : x - Step 2: Convert to fraction form
91/106.75 = 106.75/x - Step 3: Cross multiply
91x = 106.75 × 106.75 - Step 4: Simplify right side
91x = 11,395.56 - Step 5: Solve for x
x = 11,395.56/91 - Step 6: Final answer
x = 125.23
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.