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Finding the Third Proportional to 173,694 and 259,809

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Solution

The third proportional to 173,694 and 259,809 is: 388,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,694 : 259,809 = 259,809 : x
  2. Step 2: Convert to fraction form
    173,694/259,809 = 259,809/x
  3. Step 3: Cross multiply
    173,694x = 259,809 × 259,809
  4. Step 4: Simplify right side
    173,694x = 67,500,716,481
  5. Step 5: Solve for x
    x = 67,500,716,481/173,694
  6. Step 6: Final answer
    x = 388,618.58

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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.