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Finding the Third Proportional to 81,067.50 and 121,861

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Solution

The third proportional to 81,067.50 and 121,861 is: 183,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,067.50 : 121,861 = 121,861 : x
  2. Step 2: Convert to fraction form
    81,067.50/121,861 = 121,861/x
  3. Step 3: Cross multiply
    81,067.50x = 121,861 × 121,861
  4. Step 4: Simplify right side
    81,067.50x = 14,850,103,321
  5. Step 5: Solve for x
    x = 14,850,103,321/81,067.50
  6. Step 6: Final answer
    x = 183,181.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.