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Finding the Third Proportional to 269,710 and 388,508

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Solution

The third proportional to 269,710 and 388,508 is: 559,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,710 : 388,508 = 388,508 : x
  2. Step 2: Convert to fraction form
    269,710/388,508 = 388,508/x
  3. Step 3: Cross multiply
    269,710x = 388,508 × 388,508
  4. Step 4: Simplify right side
    269,710x = 150,938,466,064
  5. Step 5: Solve for x
    x = 150,938,466,064/269,710
  6. Step 6: Final answer
    x = 559,632.44

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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.