Finding the Third Proportional to 235 and 259.50
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Solution
The third proportional to 235 and 259.50 is: 286.55
Step by Step Solution
- Step 1: Write the proportion equation
235 : 259.50 = 259.50 : x - Step 2: Convert to fraction form
235/259.50 = 259.50/x - Step 3: Cross multiply
235x = 259.50 × 259.50 - Step 4: Simplify right side
235x = 67,340.25 - Step 5: Solve for x
x = 67,340.25/235 - Step 6: Final answer
x = 286.55
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.