Finding the Third Proportional to 468 and 1,170
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Solution
The third proportional to 468 and 1,170 is: 2,925
Step by Step Solution
- Step 1: Write the proportion equation
468 : 1,170 = 1,170 : x - Step 2: Convert to fraction form
468/1,170 = 1,170/x - Step 3: Cross multiply
468x = 1,170 × 1,170 - Step 4: Simplify right side
468x = 1,368,900 - Step 5: Solve for x
x = 1,368,900/468 - Step 6: Final answer
x = 2,925
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These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.