Finding the Third Proportional to 633 and 1,221
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Solution
The third proportional to 633 and 1,221 is: 2,355.20
Step by Step Solution
- Step 1: Write the proportion equation
633 : 1,221 = 1,221 : x - Step 2: Convert to fraction form
633/1,221 = 1,221/x - Step 3: Cross multiply
633x = 1,221 × 1,221 - Step 4: Simplify right side
633x = 1,490,841 - Step 5: Solve for x
x = 1,490,841/633 - Step 6: Final answer
x = 2,355.20
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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.