Finding the Third Proportional to 778 and 1,800
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Solution
The third proportional to 778 and 1,800 is: 4,164.52
Step by Step Solution
- Step 1: Write the proportion equation
778 : 1,800 = 1,800 : x - Step 2: Convert to fraction form
778/1,800 = 1,800/x - Step 3: Cross multiply
778x = 1,800 × 1,800 - Step 4: Simplify right side
778x = 3,240,000 - Step 5: Solve for x
x = 3,240,000/778 - Step 6: Final answer
x = 4,164.52
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.