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Finding the Third Proportional to 172,847 and 259,275

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Solution

The third proportional to 172,847 and 259,275 is: 388,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,847 : 259,275 = 259,275 : x
  2. Step 2: Convert to fraction form
    172,847/259,275 = 259,275/x
  3. Step 3: Cross multiply
    172,847x = 259,275 × 259,275
  4. Step 4: Simplify right side
    172,847x = 67,223,525,625
  5. Step 5: Solve for x
    x = 67,223,525,625/172,847
  6. Step 6: Final answer
    x = 388,919.25

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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.