Finding the Third Proportional to 215 and 259.50
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Solution
The third proportional to 215 and 259.50 is: 313.21
Step by Step Solution
- Step 1: Write the proportion equation
215 : 259.50 = 259.50 : x - Step 2: Convert to fraction form
215/259.50 = 259.50/x - Step 3: Cross multiply
215x = 259.50 × 259.50 - Step 4: Simplify right side
215x = 67,340.25 - Step 5: Solve for x
x = 67,340.25/215 - Step 6: Final answer
x = 313.21
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Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.