Finding the Third Proportional to 514 and 1,316
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Solution
The third proportional to 514 and 1,316 is: 3,369.37
Step by Step Solution
- Step 1: Write the proportion equation
514 : 1,316 = 1,316 : x - Step 2: Convert to fraction form
514/1,316 = 1,316/x - Step 3: Cross multiply
514x = 1,316 × 1,316 - Step 4: Simplify right side
514x = 1,731,856 - Step 5: Solve for x
x = 1,731,856/514 - Step 6: Final answer
x = 3,369.37
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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.