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Finding the Third Proportional to 197,288 and 279,158

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Solution

The third proportional to 197,288 and 279,158 is: 395,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,288 : 279,158 = 279,158 : x
  2. Step 2: Convert to fraction form
    197,288/279,158 = 279,158/x
  3. Step 3: Cross multiply
    197,288x = 279,158 × 279,158
  4. Step 4: Simplify right side
    197,288x = 77,929,188,964
  5. Step 5: Solve for x
    x = 77,929,188,964/197,288
  6. Step 6: Final answer
    x = 395,002.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.