Finding the Third Proportional to 860 and 1,840
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Solution
The third proportional to 860 and 1,840 is: 3,936.74
Step by Step Solution
- Step 1: Write the proportion equation
860 : 1,840 = 1,840 : x - Step 2: Convert to fraction form
860/1,840 = 1,840/x - Step 3: Cross multiply
860x = 1,840 × 1,840 - Step 4: Simplify right side
860x = 3,385,600 - Step 5: Solve for x
x = 3,385,600/860 - Step 6: Final answer
x = 3,936.74
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.