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Finding the Third Proportional to 76,486.50 and 110,163.38

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Solution

The third proportional to 76,486.50 and 110,163.38 is: 158,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.50 : 110,163.38 = 110,163.38 : x
  2. Step 2: Convert to fraction form
    76,486.50/110,163.38 = 110,163.38/x
  3. Step 3: Cross multiply
    76,486.50x = 110,163.38 × 110,163.38
  4. Step 4: Simplify right side
    76,486.50x = 12,135,969,191.39
  5. Step 5: Solve for x
    x = 12,135,969,191.39/76,486.50
  6. Step 6: Final answer
    x = 158,668.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.