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Finding the Third Proportional to 79,923 and 117,292.50

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Solution

The third proportional to 79,923 and 117,292.50 is: 172,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,923 : 117,292.50 = 117,292.50 : x
  2. Step 2: Convert to fraction form
    79,923/117,292.50 = 117,292.50/x
  3. Step 3: Cross multiply
    79,923x = 117,292.50 × 117,292.50
  4. Step 4: Simplify right side
    79,923x = 13,757,530,556.25
  5. Step 5: Solve for x
    x = 13,757,530,556.25/79,923
  6. Step 6: Final answer
    x = 172,134.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.