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Finding the Third Proportional to 81,570 and 110,067

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Solution

The third proportional to 81,570 and 110,067 is: 148,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,570 : 110,067 = 110,067 : x
  2. Step 2: Convert to fraction form
    81,570/110,067 = 110,067/x
  3. Step 3: Cross multiply
    81,570x = 110,067 × 110,067
  4. Step 4: Simplify right side
    81,570x = 12,114,744,489
  5. Step 5: Solve for x
    x = 12,114,744,489/81,570
  6. Step 6: Final answer
    x = 148,519.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.