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Finding the Third Proportional to 178,067 and 275,350

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Solution

The third proportional to 178,067 and 275,350 is: 425,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,067 : 275,350 = 275,350 : x
  2. Step 2: Convert to fraction form
    178,067/275,350 = 275,350/x
  3. Step 3: Cross multiply
    178,067x = 275,350 × 275,350
  4. Step 4: Simplify right side
    178,067x = 75,817,622,500
  5. Step 5: Solve for x
    x = 75,817,622,500/178,067
  6. Step 6: Final answer
    x = 425,781.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.