Finding the Third Proportional to 345 and 830
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Solution
The third proportional to 345 and 830 is: 1,996.81
Step by Step Solution
- Step 1: Write the proportion equation
345 : 830 = 830 : x - Step 2: Convert to fraction form
345/830 = 830/x - Step 3: Cross multiply
345x = 830 × 830 - Step 4: Simplify right side
345x = 688,900 - Step 5: Solve for x
x = 688,900/345 - Step 6: Final answer
x = 1,996.81
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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.