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Finding the Third Proportional to 171,261 and 379,242

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Solution

The third proportional to 171,261 and 379,242 is: 839,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,261 : 379,242 = 379,242 : x
  2. Step 2: Convert to fraction form
    171,261/379,242 = 379,242/x
  3. Step 3: Cross multiply
    171,261x = 379,242 × 379,242
  4. Step 4: Simplify right side
    171,261x = 143,824,494,564
  5. Step 5: Solve for x
    x = 143,824,494,564/171,261
  6. Step 6: Final answer
    x = 839,797.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.