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Finding the Third Proportional to 173,678 and 259,869

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Solution

The third proportional to 173,678 and 259,869 is: 388,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,678 : 259,869 = 259,869 : x
  2. Step 2: Convert to fraction form
    173,678/259,869 = 259,869/x
  3. Step 3: Cross multiply
    173,678x = 259,869 × 259,869
  4. Step 4: Simplify right side
    173,678x = 67,531,897,161
  5. Step 5: Solve for x
    x = 67,531,897,161/173,678
  6. Step 6: Final answer
    x = 388,833.92

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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.