Finding the Third Proportional to 270 and 295.50
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Solution
The third proportional to 270 and 295.50 is: 323.41
Step by Step Solution
- Step 1: Write the proportion equation
270 : 295.50 = 295.50 : x - Step 2: Convert to fraction form
270/295.50 = 295.50/x - Step 3: Cross multiply
270x = 295.50 × 295.50 - Step 4: Simplify right side
270x = 87,320.25 - Step 5: Solve for x
x = 87,320.25/270 - Step 6: Final answer
x = 323.41
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.