Finding the Third Proportional to 66 and 69.50
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Solution
The third proportional to 66 and 69.50 is: 73.19
Step by Step Solution
- Step 1: Write the proportion equation
66 : 69.50 = 69.50 : x - Step 2: Convert to fraction form
66/69.50 = 69.50/x - Step 3: Cross multiply
66x = 69.50 × 69.50 - Step 4: Simplify right side
66x = 4,830.25 - Step 5: Solve for x
x = 4,830.25/66 - Step 6: Final answer
x = 73.19
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Why These Related Problems?
These problems maintain the same ratio (1.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.