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Finding the Third Proportional to 131,645 and 269,519

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Solution

The third proportional to 131,645 and 269,519 is: 551,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,645 : 269,519 = 269,519 : x
  2. Step 2: Convert to fraction form
    131,645/269,519 = 269,519/x
  3. Step 3: Cross multiply
    131,645x = 269,519 × 269,519
  4. Step 4: Simplify right side
    131,645x = 72,640,491,361
  5. Step 5: Solve for x
    x = 72,640,491,361/131,645
  6. Step 6: Final answer
    x = 551,790.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.