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Finding the Third Proportional to 107,622 and 212,484

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Solution

The third proportional to 107,622 and 212,484 is: 419,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,622 : 212,484 = 212,484 : x
  2. Step 2: Convert to fraction form
    107,622/212,484 = 212,484/x
  3. Step 3: Cross multiply
    107,622x = 212,484 × 212,484
  4. Step 4: Simplify right side
    107,622x = 45,149,450,256
  5. Step 5: Solve for x
    x = 45,149,450,256/107,622
  6. Step 6: Final answer
    x = 419,518.78

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Why These Related Problems?

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