Finding the Third Proportional to 260 and 705.50
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Solution
The third proportional to 260 and 705.50 is: 1,914.35
Step by Step Solution
- Step 1: Write the proportion equation
260 : 705.50 = 705.50 : x - Step 2: Convert to fraction form
260/705.50 = 705.50/x - Step 3: Cross multiply
260x = 705.50 × 705.50 - Step 4: Simplify right side
260x = 497,730.25 - Step 5: Solve for x
x = 497,730.25/260 - Step 6: Final answer
x = 1,914.35
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Why These Related Problems?
These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.