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Finding the Third Proportional to 202,536 and 446,544

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Solution

The third proportional to 202,536 and 446,544 is: 984,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,536 : 446,544 = 446,544 : x
  2. Step 2: Convert to fraction form
    202,536/446,544 = 446,544/x
  3. Step 3: Cross multiply
    202,536x = 446,544 × 446,544
  4. Step 4: Simplify right side
    202,536x = 199,401,543,936
  5. Step 5: Solve for x
    x = 199,401,543,936/202,536
  6. Step 6: Final answer
    x = 984,523.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.