Finding the Third Proportional to 19.50 and 52.50
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Solution
The third proportional to 19.50 and 52.50 is: 141.35
Step by Step Solution
- Step 1: Write the proportion equation
19.50 : 52.50 = 52.50 : x - Step 2: Convert to fraction form
19.50/52.50 = 52.50/x - Step 3: Cross multiply
19.50x = 52.50 × 52.50 - Step 4: Simplify right side
19.50x = 2,756.25 - Step 5: Solve for x
x = 2,756.25/19.50 - Step 6: Final answer
x = 141.35
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Why These Related Problems?
These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.