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Finding the Third Proportional to 262,992 and 427,272

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Solution

The third proportional to 262,992 and 427,272 is: 694,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,992 : 427,272 = 427,272 : x
  2. Step 2: Convert to fraction form
    262,992/427,272 = 427,272/x
  3. Step 3: Cross multiply
    262,992x = 427,272 × 427,272
  4. Step 4: Simplify right side
    262,992x = 182,561,361,984
  5. Step 5: Solve for x
    x = 182,561,361,984/262,992
  6. Step 6: Final answer
    x = 694,170.78

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.