Finding the Third Proportional to 98 and 259.50
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Solution
The third proportional to 98 and 259.50 is: 687.15
Step by Step Solution
- Step 1: Write the proportion equation
98 : 259.50 = 259.50 : x - Step 2: Convert to fraction form
98/259.50 = 259.50/x - Step 3: Cross multiply
98x = 259.50 × 259.50 - Step 4: Simplify right side
98x = 67,340.25 - Step 5: Solve for x
x = 67,340.25/98 - Step 6: Final answer
x = 687.15
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Why These Related Problems?
These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.