Finding the Third Proportional to 2,230 and 2,470
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Solution
The third proportional to 2,230 and 2,470 is: 2,735.83
Step by Step Solution
- Step 1: Write the proportion equation
2,230 : 2,470 = 2,470 : x - Step 2: Convert to fraction form
2,230/2,470 = 2,470/x - Step 3: Cross multiply
2,230x = 2,470 × 2,470 - Step 4: Simplify right side
2,230x = 6,100,900 - Step 5: Solve for x
x = 6,100,900/2,230 - Step 6: Final answer
x = 2,735.83
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.