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Finding the Third Proportional to 120,252 and 231,288

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Solution

The third proportional to 120,252 and 231,288 is: 444,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,252 : 231,288 = 231,288 : x
  2. Step 2: Convert to fraction form
    120,252/231,288 = 231,288/x
  3. Step 3: Cross multiply
    120,252x = 231,288 × 231,288
  4. Step 4: Simplify right side
    120,252x = 53,494,138,944
  5. Step 5: Solve for x
    x = 53,494,138,944/120,252
  6. Step 6: Final answer
    x = 444,850.31

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.