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Finding the Third Proportional to 177,868 and 271,320

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Solution

The third proportional to 177,868 and 271,320 is: 413,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,868 : 271,320 = 271,320 : x
  2. Step 2: Convert to fraction form
    177,868/271,320 = 271,320/x
  3. Step 3: Cross multiply
    177,868x = 271,320 × 271,320
  4. Step 4: Simplify right side
    177,868x = 73,614,542,400
  5. Step 5: Solve for x
    x = 73,614,542,400/177,868
  6. Step 6: Final answer
    x = 413,871.76

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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.