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Finding the Third Proportional to 122,067 and 285,187.50

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Solution

The third proportional to 122,067 and 285,187.50 is: 666,289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,067 : 285,187.50 = 285,187.50 : x
  2. Step 2: Convert to fraction form
    122,067/285,187.50 = 285,187.50/x
  3. Step 3: Cross multiply
    122,067x = 285,187.50 × 285,187.50
  4. Step 4: Simplify right side
    122,067x = 81,331,910,156.25
  5. Step 5: Solve for x
    x = 81,331,910,156.25/122,067
  6. Step 6: Final answer
    x = 666,289.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.