Finding the Third Proportional to 294 and 706.50
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Solution
The third proportional to 294 and 706.50 is: 1,697.76
Step by Step Solution
- Step 1: Write the proportion equation
294 : 706.50 = 706.50 : x - Step 2: Convert to fraction form
294/706.50 = 706.50/x - Step 3: Cross multiply
294x = 706.50 × 706.50 - Step 4: Simplify right side
294x = 499,142.25 - Step 5: Solve for x
x = 499,142.25/294 - Step 6: Final answer
x = 1,697.76
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Why These Related Problems?
These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.