Finding the Third Proportional to 219 and 235.50
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Solution
The third proportional to 219 and 235.50 is: 253.24
Step by Step Solution
- Step 1: Write the proportion equation
219 : 235.50 = 235.50 : x - Step 2: Convert to fraction form
219/235.50 = 235.50/x - Step 3: Cross multiply
219x = 235.50 × 235.50 - Step 4: Simplify right side
219x = 55,460.25 - Step 5: Solve for x
x = 55,460.25/219 - Step 6: Final answer
x = 253.24
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.