Finding the Third Proportional to 354 and 784.50
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Solution
The third proportional to 354 and 784.50 is: 1,738.53
Step by Step Solution
- Step 1: Write the proportion equation
354 : 784.50 = 784.50 : x - Step 2: Convert to fraction form
354/784.50 = 784.50/x - Step 3: Cross multiply
354x = 784.50 × 784.50 - Step 4: Simplify right side
354x = 615,440.25 - Step 5: Solve for x
x = 615,440.25/354 - Step 6: Final answer
x = 1,738.53
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.