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Finding the Third Proportional to 79,930 and 162,101

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Solution

The third proportional to 79,930 and 162,101 is: 328,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,930 : 162,101 = 162,101 : x
  2. Step 2: Convert to fraction form
    79,930/162,101 = 162,101/x
  3. Step 3: Cross multiply
    79,930x = 162,101 × 162,101
  4. Step 4: Simplify right side
    79,930x = 26,276,734,201
  5. Step 5: Solve for x
    x = 26,276,734,201/79,930
  6. Step 6: Final answer
    x = 328,746.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.