Finding the Third Proportional to 84 and 208.25
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Solution
The third proportional to 84 and 208.25 is: 516.29
Step by Step Solution
- Step 1: Write the proportion equation
84 : 208.25 = 208.25 : x - Step 2: Convert to fraction form
84/208.25 = 208.25/x - Step 3: Cross multiply
84x = 208.25 × 208.25 - Step 4: Simplify right side
84x = 43,368.06 - Step 5: Solve for x
x = 43,368.06/84 - Step 6: Final answer
x = 516.29
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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.