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Finding the Third Proportional to 72,722 and 154,234

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Solution

The third proportional to 72,722 and 154,234 is: 327,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,722 : 154,234 = 154,234 : x
  2. Step 2: Convert to fraction form
    72,722/154,234 = 154,234/x
  3. Step 3: Cross multiply
    72,722x = 154,234 × 154,234
  4. Step 4: Simplify right side
    72,722x = 23,788,126,756
  5. Step 5: Solve for x
    x = 23,788,126,756/72,722
  6. Step 6: Final answer
    x = 327,110.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.