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Finding the Third Proportional to 122,857 and 258,833

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Solution

The third proportional to 122,857 and 258,833 is: 545,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,857 : 258,833 = 258,833 : x
  2. Step 2: Convert to fraction form
    122,857/258,833 = 258,833/x
  3. Step 3: Cross multiply
    122,857x = 258,833 × 258,833
  4. Step 4: Simplify right side
    122,857x = 66,994,521,889
  5. Step 5: Solve for x
    x = 66,994,521,889/122,857
  6. Step 6: Final answer
    x = 545,304.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.