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Finding the Third Proportional to 81,086.06 and 120,964.64

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Solution

The third proportional to 81,086.06 and 120,964.64 is: 180,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,086.06 : 120,964.64 = 120,964.64 : x
  2. Step 2: Convert to fraction form
    81,086.06/120,964.64 = 120,964.64/x
  3. Step 3: Cross multiply
    81,086.06x = 120,964.64 × 120,964.64
  4. Step 4: Simplify right side
    81,086.06x = 14,632,444,281.54
  5. Step 5: Solve for x
    x = 14,632,444,281.54/81,086.06
  6. Step 6: Final answer
    x = 180,455.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.