Finding the Third Proportional to 69.50 and 107.50
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Solution
The third proportional to 69.50 and 107.50 is: 166.28
Step by Step Solution
- Step 1: Write the proportion equation
69.50 : 107.50 = 107.50 : x - Step 2: Convert to fraction form
69.50/107.50 = 107.50/x - Step 3: Cross multiply
69.50x = 107.50 × 107.50 - Step 4: Simplify right side
69.50x = 11,556.25 - Step 5: Solve for x
x = 11,556.25/69.50 - Step 6: Final answer
x = 166.28
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.