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Finding the Third Proportional to 173,079 and 261,923

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Solution

The third proportional to 173,079 and 261,923 is: 396,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,079 : 261,923 = 261,923 : x
  2. Step 2: Convert to fraction form
    173,079/261,923 = 261,923/x
  3. Step 3: Cross multiply
    173,079x = 261,923 × 261,923
  4. Step 4: Simplify right side
    173,079x = 68,603,657,929
  5. Step 5: Solve for x
    x = 68,603,657,929/173,079
  6. Step 6: Final answer
    x = 396,371.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.