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Finding the Third Proportional to 81,919.13 and 110,103.75

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Solution

The third proportional to 81,919.13 and 110,103.75 is: 147,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,919.13 : 110,103.75 = 110,103.75 : x
  2. Step 2: Convert to fraction form
    81,919.13/110,103.75 = 110,103.75/x
  3. Step 3: Cross multiply
    81,919.13x = 110,103.75 × 110,103.75
  4. Step 4: Simplify right side
    81,919.13x = 12,122,835,764.06
  5. Step 5: Solve for x
    x = 12,122,835,764.06/81,919.13
  6. Step 6: Final answer
    x = 147,985.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.