Finding the Third Proportional to 643 and 1,172
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Solution
The third proportional to 643 and 1,172 is: 2,136.21
Step by Step Solution
- Step 1: Write the proportion equation
643 : 1,172 = 1,172 : x - Step 2: Convert to fraction form
643/1,172 = 1,172/x - Step 3: Cross multiply
643x = 1,172 × 1,172 - Step 4: Simplify right side
643x = 1,373,584 - Step 5: Solve for x
x = 1,373,584/643 - Step 6: Final answer
x = 2,136.21
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These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.