Finding the Third Proportional to 643 and 980
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Solution
The third proportional to 643 and 980 is: 1,493.62
Step by Step Solution
- Step 1: Write the proportion equation
643 : 980 = 980 : x - Step 2: Convert to fraction form
643/980 = 980/x - Step 3: Cross multiply
643x = 980 × 980 - Step 4: Simplify right side
643x = 960,400 - Step 5: Solve for x
x = 960,400/643 - Step 6: Final answer
x = 1,493.62
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.