Finding the Third Proportional to 74 and 199.50
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Solution
The third proportional to 74 and 199.50 is: 537.84
Step by Step Solution
- Step 1: Write the proportion equation
74 : 199.50 = 199.50 : x - Step 2: Convert to fraction form
74/199.50 = 199.50/x - Step 3: Cross multiply
74x = 199.50 × 199.50 - Step 4: Simplify right side
74x = 39,800.25 - Step 5: Solve for x
x = 39,800.25/74 - Step 6: Final answer
x = 537.84
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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.