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Finding the Third Proportional to 202,221 and 309,771

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Solution

The third proportional to 202,221 and 309,771 is: 474,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,221 : 309,771 = 309,771 : x
  2. Step 2: Convert to fraction form
    202,221/309,771 = 309,771/x
  3. Step 3: Cross multiply
    202,221x = 309,771 × 309,771
  4. Step 4: Simplify right side
    202,221x = 95,958,072,441
  5. Step 5: Solve for x
    x = 95,958,072,441/202,221
  6. Step 6: Final answer
    x = 474,520.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.