Finding the Third Proportional to 201,408 and 470,400
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Solution
The third proportional to 201,408 and 470,400 is: 1,098,646.33
Step by Step Solution
- Step 1: Write the proportion equation
201,408 : 470,400 = 470,400 : x - Step 2: Convert to fraction form
201,408/470,400 = 470,400/x - Step 3: Cross multiply
201,408x = 470,400 × 470,400 - Step 4: Simplify right side
201,408x = 221,276,160,000 - Step 5: Solve for x
x = 221,276,160,000/201,408 - Step 6: Final answer
x = 1,098,646.33
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.