Finding the Third Proportional to 707 and 1,682
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Solution
The third proportional to 707 and 1,682 is: 4,001.59
Step by Step Solution
- Step 1: Write the proportion equation
707 : 1,682 = 1,682 : x - Step 2: Convert to fraction form
707/1,682 = 1,682/x - Step 3: Cross multiply
707x = 1,682 × 1,682 - Step 4: Simplify right side
707x = 2,829,124 - Step 5: Solve for x
x = 2,829,124/707 - Step 6: Final answer
x = 4,001.59
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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.