Finding the Third Proportional to 794 and 1,288
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Solution
The third proportional to 794 and 1,288 is: 2,089.35
Step by Step Solution
- Step 1: Write the proportion equation
794 : 1,288 = 1,288 : x - Step 2: Convert to fraction form
794/1,288 = 1,288/x - Step 3: Cross multiply
794x = 1,288 × 1,288 - Step 4: Simplify right side
794x = 1,658,944 - Step 5: Solve for x
x = 1,658,944/794 - Step 6: Final answer
x = 2,089.35
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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.