Finding the Third Proportional to 589.50 and 1,275
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Solution
The third proportional to 589.50 and 1,275 is: 2,757.63
Step by Step Solution
- Step 1: Write the proportion equation
589.50 : 1,275 = 1,275 : x - Step 2: Convert to fraction form
589.50/1,275 = 1,275/x - Step 3: Cross multiply
589.50x = 1,275 × 1,275 - Step 4: Simplify right side
589.50x = 1,625,625 - Step 5: Solve for x
x = 1,625,625/589.50 - Step 6: Final answer
x = 2,757.63
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.