Finding the Third Proportional to 260 and 430
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Solution
The third proportional to 260 and 430 is: 711.15
Step by Step Solution
- Step 1: Write the proportion equation
260 : 430 = 430 : x - Step 2: Convert to fraction form
260/430 = 430/x - Step 3: Cross multiply
260x = 430 × 430 - Step 4: Simplify right side
260x = 184,900 - Step 5: Solve for x
x = 184,900/260 - Step 6: Final answer
x = 711.15
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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.