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Finding the Third Proportional to 172,915 and 259,372

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Solution

The third proportional to 172,915 and 259,372 is: 389,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,915 : 259,372 = 259,372 : x
  2. Step 2: Convert to fraction form
    172,915/259,372 = 259,372/x
  3. Step 3: Cross multiply
    172,915x = 259,372 × 259,372
  4. Step 4: Simplify right side
    172,915x = 67,273,834,384
  5. Step 5: Solve for x
    x = 67,273,834,384/172,915
  6. Step 6: Final answer
    x = 389,057.25

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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.