Finding the Third Proportional to 2,080 and 3,136
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Solution
The third proportional to 2,080 and 3,136 is: 4,728.12
Step by Step Solution
- Step 1: Write the proportion equation
2,080 : 3,136 = 3,136 : x - Step 2: Convert to fraction form
2,080/3,136 = 3,136/x - Step 3: Cross multiply
2,080x = 3,136 × 3,136 - Step 4: Simplify right side
2,080x = 9,834,496 - Step 5: Solve for x
x = 9,834,496/2,080 - Step 6: Final answer
x = 4,728.12
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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.