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Finding the Third Proportional to 123,411 and 269,439

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Solution

The third proportional to 123,411 and 269,439 is: 588,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,411 : 269,439 = 269,439 : x
  2. Step 2: Convert to fraction form
    123,411/269,439 = 269,439/x
  3. Step 3: Cross multiply
    123,411x = 269,439 × 269,439
  4. Step 4: Simplify right side
    123,411x = 72,597,374,721
  5. Step 5: Solve for x
    x = 72,597,374,721/123,411
  6. Step 6: Final answer
    x = 588,256.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.