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Finding the Third Proportional to 79,903 and 173,894

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Solution

The third proportional to 79,903 and 173,894 is: 378,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,903 : 173,894 = 173,894 : x
  2. Step 2: Convert to fraction form
    79,903/173,894 = 173,894/x
  3. Step 3: Cross multiply
    79,903x = 173,894 × 173,894
  4. Step 4: Simplify right side
    79,903x = 30,239,123,236
  5. Step 5: Solve for x
    x = 30,239,123,236/79,903
  6. Step 6: Final answer
    x = 378,447.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.