Finding the Third Proportional to 65 and 175.50
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Solution
The third proportional to 65 and 175.50 is: 473.85
Step by Step Solution
- Step 1: Write the proportion equation
65 : 175.50 = 175.50 : x - Step 2: Convert to fraction form
65/175.50 = 175.50/x - Step 3: Cross multiply
65x = 175.50 × 175.50 - Step 4: Simplify right side
65x = 30,800.25 - Step 5: Solve for x
x = 30,800.25/65 - Step 6: Final answer
x = 473.85
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Why These Related Problems?
These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.