Finding the Third Proportional to 6,729 and 10,329
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Solution
The third proportional to 6,729 and 10,329 is: 15,854.99
Step by Step Solution
- Step 1: Write the proportion equation
6,729 : 10,329 = 10,329 : x - Step 2: Convert to fraction form
6,729/10,329 = 10,329/x - Step 3: Cross multiply
6,729x = 10,329 × 10,329 - Step 4: Simplify right side
6,729x = 106,688,241 - Step 5: Solve for x
x = 106,688,241/6,729 - Step 6: Final answer
x = 15,854.99
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.