Finding the Third Proportional to 839 and 1,295
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Solution
The third proportional to 839 and 1,295 is: 1,998.84
Step by Step Solution
- Step 1: Write the proportion equation
839 : 1,295 = 1,295 : x - Step 2: Convert to fraction form
839/1,295 = 1,295/x - Step 3: Cross multiply
839x = 1,295 × 1,295 - Step 4: Simplify right side
839x = 1,677,025 - Step 5: Solve for x
x = 1,677,025/839 - Step 6: Final answer
x = 1,998.84
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.