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Finding the Third Proportional to 172,922 and 259,383

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Solution

The third proportional to 172,922 and 259,383 is: 389,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,922 : 259,383 = 259,383 : x
  2. Step 2: Convert to fraction form
    172,922/259,383 = 259,383/x
  3. Step 3: Cross multiply
    172,922x = 259,383 × 259,383
  4. Step 4: Simplify right side
    172,922x = 67,279,540,689
  5. Step 5: Solve for x
    x = 67,279,540,689/172,922
  6. Step 6: Final answer
    x = 389,074.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.