Finding the Third Proportional to 2,121 and 2,430
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Solution
The third proportional to 2,121 and 2,430 is: 2,784.02
Step by Step Solution
- Step 1: Write the proportion equation
2,121 : 2,430 = 2,430 : x - Step 2: Convert to fraction form
2,121/2,430 = 2,430/x - Step 3: Cross multiply
2,121x = 2,430 × 2,430 - Step 4: Simplify right side
2,121x = 5,904,900 - Step 5: Solve for x
x = 5,904,900/2,121 - Step 6: Final answer
x = 2,784.02
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.