Finding the Third Proportional to 686 and 1,030
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Solution
The third proportional to 686 and 1,030 is: 1,546.50
Step by Step Solution
- Step 1: Write the proportion equation
686 : 1,030 = 1,030 : x - Step 2: Convert to fraction form
686/1,030 = 1,030/x - Step 3: Cross multiply
686x = 1,030 × 1,030 - Step 4: Simplify right side
686x = 1,060,900 - Step 5: Solve for x
x = 1,060,900/686 - Step 6: Final answer
x = 1,546.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.