Finding the Third Proportional to 490 and 692
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Solution
The third proportional to 490 and 692 is: 977.27
Step by Step Solution
- Step 1: Write the proportion equation
490 : 692 = 692 : x - Step 2: Convert to fraction form
490/692 = 692/x - Step 3: Cross multiply
490x = 692 × 692 - Step 4: Simplify right side
490x = 478,864 - Step 5: Solve for x
x = 478,864/490 - Step 6: Final answer
x = 977.27
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.