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Finding the Third Proportional to 172,849 and 259,277

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Solution

The third proportional to 172,849 and 259,277 is: 388,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,849 : 259,277 = 259,277 : x
  2. Step 2: Convert to fraction form
    172,849/259,277 = 259,277/x
  3. Step 3: Cross multiply
    172,849x = 259,277 × 259,277
  4. Step 4: Simplify right side
    172,849x = 67,224,562,729
  5. Step 5: Solve for x
    x = 67,224,562,729/172,849
  6. Step 6: Final answer
    x = 388,920.75

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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.