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Finding the Third Proportional to 122,929 and 268,199

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Solution

The third proportional to 122,929 and 268,199 is: 585,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,929 : 268,199 = 268,199 : x
  2. Step 2: Convert to fraction form
    122,929/268,199 = 268,199/x
  3. Step 3: Cross multiply
    122,929x = 268,199 × 268,199
  4. Step 4: Simplify right side
    122,929x = 71,930,703,601
  5. Step 5: Solve for x
    x = 71,930,703,601/122,929
  6. Step 6: Final answer
    x = 585,140.23

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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.