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Finding the Third Proportional to 269,439 and 579,519

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Solution

The third proportional to 269,439 and 579,519 is: 1,246,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,439 : 579,519 = 579,519 : x
  2. Step 2: Convert to fraction form
    269,439/579,519 = 579,519/x
  3. Step 3: Cross multiply
    269,439x = 579,519 × 579,519
  4. Step 4: Simplify right side
    269,439x = 335,842,271,361
  5. Step 5: Solve for x
    x = 335,842,271,361/269,439
  6. Step 6: Final answer
    x = 1,246,450.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.