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Finding the Third Proportional to 202,467 and 309,834

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Solution

The third proportional to 202,467 and 309,834 is: 474,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,467 : 309,834 = 309,834 : x
  2. Step 2: Convert to fraction form
    202,467/309,834 = 309,834/x
  3. Step 3: Cross multiply
    202,467x = 309,834 × 309,834
  4. Step 4: Simplify right side
    202,467x = 95,997,107,556
  5. Step 5: Solve for x
    x = 95,997,107,556/202,467
  6. Step 6: Final answer
    x = 474,137.06

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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.