Finding the Third Proportional to 562 and 1,421
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Solution
The third proportional to 562 and 1,421 is: 3,592.96
Step by Step Solution
- Step 1: Write the proportion equation
562 : 1,421 = 1,421 : x - Step 2: Convert to fraction form
562/1,421 = 1,421/x - Step 3: Cross multiply
562x = 1,421 × 1,421 - Step 4: Simplify right side
562x = 2,019,241 - Step 5: Solve for x
x = 2,019,241/562 - Step 6: Final answer
x = 3,592.96
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These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.