Finding the Third Proportional to 689 and 760
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Solution
The third proportional to 689 and 760 is: 838.32
Step by Step Solution
- Step 1: Write the proportion equation
689 : 760 = 760 : x - Step 2: Convert to fraction form
689/760 = 760/x - Step 3: Cross multiply
689x = 760 × 760 - Step 4: Simplify right side
689x = 577,600 - Step 5: Solve for x
x = 577,600/689 - Step 6: Final answer
x = 838.32
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.