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Finding the Third Proportional to 168,000 and 259,939

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Solution

The third proportional to 168,000 and 259,939 is: 402,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,000 : 259,939 = 259,939 : x
  2. Step 2: Convert to fraction form
    168,000/259,939 = 259,939/x
  3. Step 3: Cross multiply
    168,000x = 259,939 × 259,939
  4. Step 4: Simplify right side
    168,000x = 67,568,283,721
  5. Step 5: Solve for x
    x = 67,568,283,721/168,000
  6. Step 6: Final answer
    x = 402,192.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.