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Finding the Third Proportional to 171,836 and 259,644

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Solution

The third proportional to 171,836 and 259,644 is: 392,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,836 : 259,644 = 259,644 : x
  2. Step 2: Convert to fraction form
    171,836/259,644 = 259,644/x
  3. Step 3: Cross multiply
    171,836x = 259,644 × 259,644
  4. Step 4: Simplify right side
    171,836x = 67,415,006,736
  5. Step 5: Solve for x
    x = 67,415,006,736/171,836
  6. Step 6: Final answer
    x = 392,321.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.