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Finding the Third Proportional to 120,551 and 264,067

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Solution

The third proportional to 120,551 and 264,067 is: 578,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,551 : 264,067 = 264,067 : x
  2. Step 2: Convert to fraction form
    120,551/264,067 = 264,067/x
  3. Step 3: Cross multiply
    120,551x = 264,067 × 264,067
  4. Step 4: Simplify right side
    120,551x = 69,731,380,489
  5. Step 5: Solve for x
    x = 69,731,380,489/120,551
  6. Step 6: Final answer
    x = 578,438.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.