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Finding the Third Proportional to 189,714 and 274,779

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Solution

The third proportional to 189,714 and 274,779 is: 397,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,714 : 274,779 = 274,779 : x
  2. Step 2: Convert to fraction form
    189,714/274,779 = 274,779/x
  3. Step 3: Cross multiply
    189,714x = 274,779 × 274,779
  4. Step 4: Simplify right side
    189,714x = 75,503,498,841
  5. Step 5: Solve for x
    x = 75,503,498,841/189,714
  6. Step 6: Final answer
    x = 397,985.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.