Finding the Third Proportional to 88 and 102.25
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Solution
The third proportional to 88 and 102.25 is: 118.81
Step by Step Solution
- Step 1: Write the proportion equation
88 : 102.25 = 102.25 : x - Step 2: Convert to fraction form
88/102.25 = 102.25/x - Step 3: Cross multiply
88x = 102.25 × 102.25 - Step 4: Simplify right side
88x = 10,455.06 - Step 5: Solve for x
x = 10,455.06/88 - Step 6: Final answer
x = 118.81
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.