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Finding the Third Proportional to 120,105 and 258,777

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Solution

The third proportional to 120,105 and 258,777 is: 557,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,105 : 258,777 = 258,777 : x
  2. Step 2: Convert to fraction form
    120,105/258,777 = 258,777/x
  3. Step 3: Cross multiply
    120,105x = 258,777 × 258,777
  4. Step 4: Simplify right side
    120,105x = 66,965,535,729
  5. Step 5: Solve for x
    x = 66,965,535,729/120,105
  6. Step 6: Final answer
    x = 557,558.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.