Finding the Third Proportional to 774 and 1,430
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Solution
The third proportional to 774 and 1,430 is: 2,641.99
Step by Step Solution
- Step 1: Write the proportion equation
774 : 1,430 = 1,430 : x - Step 2: Convert to fraction form
774/1,430 = 1,430/x - Step 3: Cross multiply
774x = 1,430 × 1,430 - Step 4: Simplify right side
774x = 2,044,900 - Step 5: Solve for x
x = 2,044,900/774 - Step 6: Final answer
x = 2,641.99
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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.