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Finding the Third Proportional to 202,026 and 309,190

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Solution

The third proportional to 202,026 and 309,190 is: 473,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,026 : 309,190 = 309,190 : x
  2. Step 2: Convert to fraction form
    202,026/309,190 = 309,190/x
  3. Step 3: Cross multiply
    202,026x = 309,190 × 309,190
  4. Step 4: Simplify right side
    202,026x = 95,598,456,100
  5. Step 5: Solve for x
    x = 95,598,456,100/202,026
  6. Step 6: Final answer
    x = 473,198.78

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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.