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Finding the Third Proportional to 112,982 and 223,108

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Solution

The third proportional to 112,982 and 223,108 is: 440,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,982 : 223,108 = 223,108 : x
  2. Step 2: Convert to fraction form
    112,982/223,108 = 223,108/x
  3. Step 3: Cross multiply
    112,982x = 223,108 × 223,108
  4. Step 4: Simplify right side
    112,982x = 49,777,179,664
  5. Step 5: Solve for x
    x = 49,777,179,664/112,982
  6. Step 6: Final answer
    x = 440,576.20

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.