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Finding the Third Proportional to 122,859 and 258,831

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Solution

The third proportional to 122,859 and 258,831 is: 545,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,859 : 258,831 = 258,831 : x
  2. Step 2: Convert to fraction form
    122,859/258,831 = 258,831/x
  3. Step 3: Cross multiply
    122,859x = 258,831 × 258,831
  4. Step 4: Simplify right side
    122,859x = 66,993,486,561
  5. Step 5: Solve for x
    x = 66,993,486,561/122,859
  6. Step 6: Final answer
    x = 545,287.58

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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.