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Finding the Third Proportional to 123,520 and 269,344

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Solution

The third proportional to 123,520 and 269,344 is: 587,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,520 : 269,344 = 269,344 : x
  2. Step 2: Convert to fraction form
    123,520/269,344 = 269,344/x
  3. Step 3: Cross multiply
    123,520x = 269,344 × 269,344
  4. Step 4: Simplify right side
    123,520x = 72,546,190,336
  5. Step 5: Solve for x
    x = 72,546,190,336/123,520
  6. Step 6: Final answer
    x = 587,323.43

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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.