Finding the Third Proportional to 694 and 1,648
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Solution
The third proportional to 694 and 1,648 is: 3,913.41
Step by Step Solution
- Step 1: Write the proportion equation
694 : 1,648 = 1,648 : x - Step 2: Convert to fraction form
694/1,648 = 1,648/x - Step 3: Cross multiply
694x = 1,648 × 1,648 - Step 4: Simplify right side
694x = 2,715,904 - Step 5: Solve for x
x = 2,715,904/694 - Step 6: Final answer
x = 3,913.41
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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.