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Finding the Third Proportional to 106,420 and 225,820

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Solution

The third proportional to 106,420 and 225,820 is: 479,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,420 : 225,820 = 225,820 : x
  2. Step 2: Convert to fraction form
    106,420/225,820 = 225,820/x
  3. Step 3: Cross multiply
    106,420x = 225,820 × 225,820
  4. Step 4: Simplify right side
    106,420x = 50,994,672,400
  5. Step 5: Solve for x
    x = 50,994,672,400/106,420
  6. Step 6: Final answer
    x = 479,183.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.