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Finding the Third Proportional to 172,804 and 259,206

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Solution

The third proportional to 172,804 and 259,206 is: 388,809

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,804 : 259,206 = 259,206 : x
  2. Step 2: Convert to fraction form
    172,804/259,206 = 259,206/x
  3. Step 3: Cross multiply
    172,804x = 259,206 × 259,206
  4. Step 4: Simplify right side
    172,804x = 67,187,750,436
  5. Step 5: Solve for x
    x = 67,187,750,436/172,804
  6. Step 6: Final answer
    x = 388,809

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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.