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Finding the Third Proportional to 79,622 and 120,329

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Solution

The third proportional to 79,622 and 120,329 is: 181,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,622 : 120,329 = 120,329 : x
  2. Step 2: Convert to fraction form
    79,622/120,329 = 120,329/x
  3. Step 3: Cross multiply
    79,622x = 120,329 × 120,329
  4. Step 4: Simplify right side
    79,622x = 14,479,068,241
  5. Step 5: Solve for x
    x = 14,479,068,241/79,622
  6. Step 6: Final answer
    x = 181,847.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.