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Finding the Third Proportional to 78,206 and 125,923

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Solution

The third proportional to 78,206 and 125,923 is: 202,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,206 : 125,923 = 125,923 : x
  2. Step 2: Convert to fraction form
    78,206/125,923 = 125,923/x
  3. Step 3: Cross multiply
    78,206x = 125,923 × 125,923
  4. Step 4: Simplify right side
    78,206x = 15,856,601,929
  5. Step 5: Solve for x
    x = 15,856,601,929/78,206
  6. Step 6: Final answer
    x = 202,754.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.