Finding the Third Proportional to 13,864 and 30,410
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Solution
The third proportional to 13,864 and 30,410 is: 66,702.83
Step by Step Solution
- Step 1: Write the proportion equation
13,864 : 30,410 = 30,410 : x - Step 2: Convert to fraction form
13,864/30,410 = 30,410/x - Step 3: Cross multiply
13,864x = 30,410 × 30,410 - Step 4: Simplify right side
13,864x = 924,768,100 - Step 5: Solve for x
x = 924,768,100/13,864 - Step 6: Final answer
x = 66,702.83
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.