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Finding the Third Proportional to 179,271 and 391,149

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Solution

The third proportional to 179,271 and 391,149 is: 853,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,271 : 391,149 = 391,149 : x
  2. Step 2: Convert to fraction form
    179,271/391,149 = 391,149/x
  3. Step 3: Cross multiply
    179,271x = 391,149 × 391,149
  4. Step 4: Simplify right side
    179,271x = 152,997,540,201
  5. Step 5: Solve for x
    x = 152,997,540,201/179,271
  6. Step 6: Final answer
    x = 853,442.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.