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Finding the Third Proportional to 172,968.50 and 379,991

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Solution

The third proportional to 172,968.50 and 379,991 is: 834,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,968.50 : 379,991 = 379,991 : x
  2. Step 2: Convert to fraction form
    172,968.50/379,991 = 379,991/x
  3. Step 3: Cross multiply
    172,968.50x = 379,991 × 379,991
  4. Step 4: Simplify right side
    172,968.50x = 144,393,160,081
  5. Step 5: Solve for x
    x = 144,393,160,081/172,968.50
  6. Step 6: Final answer
    x = 834,794.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.