Finding the Third Proportional to 654 and 1,686
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Solution
The third proportional to 654 and 1,686 is: 4,346.48
Step by Step Solution
- Step 1: Write the proportion equation
654 : 1,686 = 1,686 : x - Step 2: Convert to fraction form
654/1,686 = 1,686/x - Step 3: Cross multiply
654x = 1,686 × 1,686 - Step 4: Simplify right side
654x = 2,842,596 - Step 5: Solve for x
x = 2,842,596/654 - Step 6: Final answer
x = 4,346.48
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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.