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Finding the Third Proportional to 38,421 and 79,901

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Solution

The third proportional to 38,421 and 79,901 is: 166,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421 : 79,901 = 79,901 : x
  2. Step 2: Convert to fraction form
    38,421/79,901 = 79,901/x
  3. Step 3: Cross multiply
    38,421x = 79,901 × 79,901
  4. Step 4: Simplify right side
    38,421x = 6,384,169,801
  5. Step 5: Solve for x
    x = 6,384,169,801/38,421
  6. Step 6: Final answer
    x = 166,163.55

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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.