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Finding the Third Proportional to 38,399 and 79,865

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Solution

The third proportional to 38,399 and 79,865 is: 166,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,399 : 79,865 = 79,865 : x
  2. Step 2: Convert to fraction form
    38,399/79,865 = 79,865/x
  3. Step 3: Cross multiply
    38,399x = 79,865 × 79,865
  4. Step 4: Simplify right side
    38,399x = 6,378,418,225
  5. Step 5: Solve for x
    x = 6,378,418,225/38,399
  6. Step 6: Final answer
    x = 166,108.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.