Finding the Third Proportional to 656 and 1,316
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Solution
The third proportional to 656 and 1,316 is: 2,640.02
Step by Step Solution
- Step 1: Write the proportion equation
656 : 1,316 = 1,316 : x - Step 2: Convert to fraction form
656/1,316 = 1,316/x - Step 3: Cross multiply
656x = 1,316 × 1,316 - Step 4: Simplify right side
656x = 1,731,856 - Step 5: Solve for x
x = 1,731,856/656 - Step 6: Final answer
x = 2,640.02
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These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.