Finding the Third Proportional to 470 and 1,005
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Solution
The third proportional to 470 and 1,005 is: 2,148.99
Step by Step Solution
- Step 1: Write the proportion equation
470 : 1,005 = 1,005 : x - Step 2: Convert to fraction form
470/1,005 = 1,005/x - Step 3: Cross multiply
470x = 1,005 × 1,005 - Step 4: Simplify right side
470x = 1,010,025 - Step 5: Solve for x
x = 1,010,025/470 - Step 6: Final answer
x = 2,148.99
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.