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Finding the Third Proportional to 269,706 and 388,503

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Solution

The third proportional to 269,706 and 388,503 is: 559,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,706 : 388,503 = 388,503 : x
  2. Step 2: Convert to fraction form
    269,706/388,503 = 388,503/x
  3. Step 3: Cross multiply
    269,706x = 388,503 × 388,503
  4. Step 4: Simplify right side
    269,706x = 150,934,581,009
  5. Step 5: Solve for x
    x = 150,934,581,009/269,706
  6. Step 6: Final answer
    x = 559,626.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.