Finding the Third Proportional to 2,565 and 3,870
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Solution
The third proportional to 2,565 and 3,870 is: 5,838.95
Step by Step Solution
- Step 1: Write the proportion equation
2,565 : 3,870 = 3,870 : x - Step 2: Convert to fraction form
2,565/3,870 = 3,870/x - Step 3: Cross multiply
2,565x = 3,870 × 3,870 - Step 4: Simplify right side
2,565x = 14,976,900 - Step 5: Solve for x
x = 14,976,900/2,565 - Step 6: Final answer
x = 5,838.95
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.