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Finding the Third Proportional to 269,708 and 388,506

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Solution

The third proportional to 269,708 and 388,506 is: 559,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,708 : 388,506 = 388,506 : x
  2. Step 2: Convert to fraction form
    269,708/388,506 = 388,506/x
  3. Step 3: Cross multiply
    269,708x = 388,506 × 388,506
  4. Step 4: Simplify right side
    269,708x = 150,936,912,036
  5. Step 5: Solve for x
    x = 150,936,912,036/269,708
  6. Step 6: Final answer
    x = 559,630.83

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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.