Finding the Third Proportional to 256 and 279.50
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Solution
The third proportional to 256 and 279.50 is: 305.16
Step by Step Solution
- Step 1: Write the proportion equation
256 : 279.50 = 279.50 : x - Step 2: Convert to fraction form
256/279.50 = 279.50/x - Step 3: Cross multiply
256x = 279.50 × 279.50 - Step 4: Simplify right side
256x = 78,120.25 - Step 5: Solve for x
x = 78,120.25/256 - Step 6: Final answer
x = 305.16
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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.