Finding the Third Proportional to 684 and 784.50
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Solution
The third proportional to 684 and 784.50 is: 899.77
Step by Step Solution
- Step 1: Write the proportion equation
684 : 784.50 = 784.50 : x - Step 2: Convert to fraction form
684/784.50 = 784.50/x - Step 3: Cross multiply
684x = 784.50 × 784.50 - Step 4: Simplify right side
684x = 615,440.25 - Step 5: Solve for x
x = 615,440.25/684 - Step 6: Final answer
x = 899.77
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.