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Finding the Third Proportional to 171,801 and 262,145

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Solution

The third proportional to 171,801 and 262,145 is: 399,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,801 : 262,145 = 262,145 : x
  2. Step 2: Convert to fraction form
    171,801/262,145 = 262,145/x
  3. Step 3: Cross multiply
    171,801x = 262,145 × 262,145
  4. Step 4: Simplify right side
    171,801x = 68,720,001,025
  5. Step 5: Solve for x
    x = 68,720,001,025/171,801
  6. Step 6: Final answer
    x = 399,997.68

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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.