Finding the Third Proportional to 2,460 and 4,920
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Solution
The third proportional to 2,460 and 4,920 is: 9,840
Step by Step Solution
- Step 1: Write the proportion equation
2,460 : 4,920 = 4,920 : x - Step 2: Convert to fraction form
2,460/4,920 = 4,920/x - Step 3: Cross multiply
2,460x = 4,920 × 4,920 - Step 4: Simplify right side
2,460x = 24,206,400 - Step 5: Solve for x
x = 24,206,400/2,460 - Step 6: Final answer
x = 9,840
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Half scale
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Double scale
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.