Finding the Third Proportional to 216,903 and 470,000
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Solution
The third proportional to 216,903 and 470,000 is: 1,018,427.59
Step by Step Solution
- Step 1: Write the proportion equation
216,903 : 470,000 = 470,000 : x - Step 2: Convert to fraction form
216,903/470,000 = 470,000/x - Step 3: Cross multiply
216,903x = 470,000 × 470,000 - Step 4: Simplify right side
216,903x = 220,900,000,000 - Step 5: Solve for x
x = 220,900,000,000/216,903 - Step 6: Final answer
x = 1,018,427.59
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.