Finding the Third Proportional to 218 and 478
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Solution
The third proportional to 218 and 478 is: 1,048.09
Step by Step Solution
- Step 1: Write the proportion equation
218 : 478 = 478 : x - Step 2: Convert to fraction form
218/478 = 478/x - Step 3: Cross multiply
218x = 478 × 478 - Step 4: Simplify right side
218x = 228,484 - Step 5: Solve for x
x = 228,484/218 - Step 6: Final answer
x = 1,048.09
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.