Finding the Third Proportional to 102 and 263
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Solution
The third proportional to 102 and 263 is: 678.13
Step by Step Solution
- Step 1: Write the proportion equation
102 : 263 = 263 : x - Step 2: Convert to fraction form
102/263 = 263/x - Step 3: Cross multiply
102x = 263 × 263 - Step 4: Simplify right side
102x = 69,169 - Step 5: Solve for x
x = 69,169/102 - Step 6: Final answer
x = 678.13
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These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.