Finding the Third Proportional to 580 and 1,429
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Solution
The third proportional to 580 and 1,429 is: 3,520.76
Step by Step Solution
- Step 1: Write the proportion equation
580 : 1,429 = 1,429 : x - Step 2: Convert to fraction form
580/1,429 = 1,429/x - Step 3: Cross multiply
580x = 1,429 × 1,429 - Step 4: Simplify right side
580x = 2,042,041 - Step 5: Solve for x
x = 2,042,041/580 - Step 6: Final answer
x = 3,520.76
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These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.