Finding the Third Proportional to 616 and 1,356
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Solution
The third proportional to 616 and 1,356 is: 2,984.96
Step by Step Solution
- Step 1: Write the proportion equation
616 : 1,356 = 1,356 : x - Step 2: Convert to fraction form
616/1,356 = 1,356/x - Step 3: Cross multiply
616x = 1,356 × 1,356 - Step 4: Simplify right side
616x = 1,838,736 - Step 5: Solve for x
x = 1,838,736/616 - Step 6: Final answer
x = 2,984.96
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.