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Finding the Third Proportional to 252,072 and 378,108

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Solution

The third proportional to 252,072 and 378,108 is: 567,162

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,072 : 378,108 = 378,108 : x
  2. Step 2: Convert to fraction form
    252,072/378,108 = 378,108/x
  3. Step 3: Cross multiply
    252,072x = 378,108 × 378,108
  4. Step 4: Simplify right side
    252,072x = 142,965,659,664
  5. Step 5: Solve for x
    x = 142,965,659,664/252,072
  6. Step 6: Final answer
    x = 567,162

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.