Finding the Third Proportional to 2,308 and 3,486
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Solution
The third proportional to 2,308 and 3,486 is: 5,265.25
Step by Step Solution
- Step 1: Write the proportion equation
2,308 : 3,486 = 3,486 : x - Step 2: Convert to fraction form
2,308/3,486 = 3,486/x - Step 3: Cross multiply
2,308x = 3,486 × 3,486 - Step 4: Simplify right side
2,308x = 12,152,196 - Step 5: Solve for x
x = 12,152,196/2,308 - Step 6: Final answer
x = 5,265.25
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.