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Finding the Third Proportional to 177,860 and 271,307

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Solution

The third proportional to 177,860 and 271,307 is: 413,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,860 : 271,307 = 271,307 : x
  2. Step 2: Convert to fraction form
    177,860/271,307 = 271,307/x
  3. Step 3: Cross multiply
    177,860x = 271,307 × 271,307
  4. Step 4: Simplify right side
    177,860x = 73,607,488,249
  5. Step 5: Solve for x
    x = 73,607,488,249/177,860
  6. Step 6: Final answer
    x = 413,850.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.